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Finding the Fourth Proportional to 5,414.72, 7,472.39 and 3,056.40

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Solution

The fourth proportional to 5,414.72, 7,472.39 and 3,056.40 is: 4,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.72 : 7,472.39 = 3,056.40 : x
  2. Step 2: Convert to fraction form
    5,414.72/7,472.39 = 3,056.40/x
  3. Step 3: Cross multiply
    5,414.72x = 7,472.39 × 3,056.40
  4. Step 4: Simplify right side
    5,414.72x = 22,838,597.51
  5. Step 5: Solve for x
    x = 22,838,597.51/5,414.72
  6. Step 6: Final answer
    x = 4,217.88

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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.