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Finding the Fourth Proportional to 5,494.93, 8,242.39 and 3,649.65

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Solution

The fourth proportional to 5,494.93, 8,242.39 and 3,649.65 is: 5,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.93 : 8,242.39 = 3,649.65 : x
  2. Step 2: Convert to fraction form
    5,494.93/8,242.39 = 3,649.65/x
  3. Step 3: Cross multiply
    5,494.93x = 8,242.39 × 3,649.65
  4. Step 4: Simplify right side
    5,494.93x = 30,081,838.66
  5. Step 5: Solve for x
    x = 30,081,838.66/5,494.93
  6. Step 6: Final answer
    x = 5,474.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.