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Finding the Fourth Proportional to 4,275.92, 6,414.80 and 1,502.48

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Solution

The fourth proportional to 4,275.92, 6,414.80 and 1,502.48 is: 2,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.92 : 6,414.80 = 1,502.48 : x
  2. Step 2: Convert to fraction form
    4,275.92/6,414.80 = 1,502.48/x
  3. Step 3: Cross multiply
    4,275.92x = 6,414.80 × 1,502.48
  4. Step 4: Simplify right side
    4,275.92x = 9,638,117.23
  5. Step 5: Solve for x
    x = 9,638,117.23/4,275.92
  6. Step 6: Final answer
    x = 2,254.04

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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.