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Finding the Fourth Proportional to 3,442.65, 4,747.86 and 2,504.67

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Solution

The fourth proportional to 3,442.65, 4,747.86 and 2,504.67 is: 3,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.65 : 4,747.86 = 2,504.67 : x
  2. Step 2: Convert to fraction form
    3,442.65/4,747.86 = 2,504.67/x
  3. Step 3: Cross multiply
    3,442.65x = 4,747.86 × 2,504.67
  4. Step 4: Simplify right side
    3,442.65x = 11,891,822.51
  5. Step 5: Solve for x
    x = 11,891,822.51/3,442.65
  6. Step 6: Final answer
    x = 3,454.26

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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.