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Finding the Fourth Proportional to 3,713.56, 5,562.43 and 2,787.73

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Solution

The fourth proportional to 3,713.56, 5,562.43 and 2,787.73 is: 4,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.56 : 5,562.43 = 2,787.73 : x
  2. Step 2: Convert to fraction form
    3,713.56/5,562.43 = 2,787.73/x
  3. Step 3: Cross multiply
    3,713.56x = 5,562.43 × 2,787.73
  4. Step 4: Simplify right side
    3,713.56x = 15,506,552.98
  5. Step 5: Solve for x
    x = 15,506,552.98/3,713.56
  6. Step 6: Final answer
    x = 4,175.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.