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Finding the Fourth Proportional to 5,411.61, 7,444.61 and 4,414.70

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Solution

The fourth proportional to 5,411.61, 7,444.61 and 4,414.70 is: 6,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.61 : 7,444.61 = 4,414.70 : x
  2. Step 2: Convert to fraction form
    5,411.61/7,444.61 = 4,414.70/x
  3. Step 3: Cross multiply
    5,411.61x = 7,444.61 × 4,414.70
  4. Step 4: Simplify right side
    5,411.61x = 32,865,732.86
  5. Step 5: Solve for x
    x = 32,865,732.86/5,411.61
  6. Step 6: Final answer
    x = 6,073.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.