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Finding the Fourth Proportional to 5,146.56, 7,104.24 and 3,472.74

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Solution

The fourth proportional to 5,146.56, 7,104.24 and 3,472.74 is: 4,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.56 : 7,104.24 = 3,472.74 : x
  2. Step 2: Convert to fraction form
    5,146.56/7,104.24 = 3,472.74/x
  3. Step 3: Cross multiply
    5,146.56x = 7,104.24 × 3,472.74
  4. Step 4: Simplify right side
    5,146.56x = 24,671,178.42
  5. Step 5: Solve for x
    x = 24,671,178.42/5,146.56
  6. Step 6: Final answer
    x = 4,793.72

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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.