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Finding the Fourth Proportional to 5,102.66, 7,644.17 and 3,789.52

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Solution

The fourth proportional to 5,102.66, 7,644.17 and 3,789.52 is: 5,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.66 : 7,644.17 = 3,789.52 : x
  2. Step 2: Convert to fraction form
    5,102.66/7,644.17 = 3,789.52/x
  3. Step 3: Cross multiply
    5,102.66x = 7,644.17 × 3,789.52
  4. Step 4: Simplify right side
    5,102.66x = 28,967,725.46
  5. Step 5: Solve for x
    x = 28,967,725.46/5,102.66
  6. Step 6: Final answer
    x = 5,676.98

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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.