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Finding the Fourth Proportional to 5,414.66, 7,472.92 and 3,056.75

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Solution

The fourth proportional to 5,414.66, 7,472.92 and 3,056.75 is: 4,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.66 : 7,472.92 = 3,056.75 : x
  2. Step 2: Convert to fraction form
    5,414.66/7,472.92 = 3,056.75/x
  3. Step 3: Cross multiply
    5,414.66x = 7,472.92 × 3,056.75
  4. Step 4: Simplify right side
    5,414.66x = 22,842,848.21
  5. Step 5: Solve for x
    x = 22,842,848.21/5,414.66
  6. Step 6: Final answer
    x = 4,218.70

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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.