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Finding the Fourth Proportional to 4,335.92, 6,504.24 and 1,414.16

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Solution

The fourth proportional to 4,335.92, 6,504.24 and 1,414.16 is: 2,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.92 : 6,504.24 = 1,414.16 : x
  2. Step 2: Convert to fraction form
    4,335.92/6,504.24 = 1,414.16/x
  3. Step 3: Cross multiply
    4,335.92x = 6,504.24 × 1,414.16
  4. Step 4: Simplify right side
    4,335.92x = 9,198,036.04
  5. Step 5: Solve for x
    x = 9,198,036.04/4,335.92
  6. Step 6: Final answer
    x = 2,121.36

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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.