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Finding the Fourth Proportional to 4,275.72, 6,414.39 and 1,354.46

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Solution

The fourth proportional to 4,275.72, 6,414.39 and 1,354.46 is: 2,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.72 : 6,414.39 = 1,354.46 : x
  2. Step 2: Convert to fraction form
    4,275.72/6,414.39 = 1,354.46/x
  3. Step 3: Cross multiply
    4,275.72x = 6,414.39 × 1,354.46
  4. Step 4: Simplify right side
    4,275.72x = 8,688,002.61
  5. Step 5: Solve for x
    x = 8,688,002.61/4,275.72
  6. Step 6: Final answer
    x = 2,031.94

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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.