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Finding the Fourth Proportional to 5,507.62, 7,602.99 and 3,270.22

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Solution

The fourth proportional to 5,507.62, 7,602.99 and 3,270.22 is: 4,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.62 : 7,602.99 = 3,270.22 : x
  2. Step 2: Convert to fraction form
    5,507.62/7,602.99 = 3,270.22/x
  3. Step 3: Cross multiply
    5,507.62x = 7,602.99 × 3,270.22
  4. Step 4: Simplify right side
    5,507.62x = 24,863,470.65
  5. Step 5: Solve for x
    x = 24,863,470.65/5,507.62
  6. Step 6: Final answer
    x = 4,514.38

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Double scale
Find fourth proportional to 5,508.62, 7,604.37 and 3,271.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.