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Finding the Fourth Proportional to 5,657, 8,476.70 and 2,731.24

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Solution

The fourth proportional to 5,657, 8,476.70 and 2,731.24 is: 4,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 8,476.70 = 2,731.24 : x
  2. Step 2: Convert to fraction form
    5,657/8,476.70 = 2,731.24/x
  3. Step 3: Cross multiply
    5,657x = 8,476.70 × 2,731.24
  4. Step 4: Simplify right side
    5,657x = 23,151,902.11
  5. Step 5: Solve for x
    x = 23,151,902.11/5,657
  6. Step 6: Final answer
    x = 4,092.61

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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.