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Finding the Fourth Proportional to 4,324.38, 6,470.82 and 3,746.13

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Solution

The fourth proportional to 4,324.38, 6,470.82 and 3,746.13 is: 5,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.38 : 6,470.82 = 3,746.13 : x
  2. Step 2: Convert to fraction form
    4,324.38/6,470.82 = 3,746.13/x
  3. Step 3: Cross multiply
    4,324.38x = 6,470.82 × 3,746.13
  4. Step 4: Simplify right side
    4,324.38x = 24,240,532.93
  5. Step 5: Solve for x
    x = 24,240,532.93/4,324.38
  6. Step 6: Final answer
    x = 5,605.55

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