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Finding the Fourth Proportional to 3,787.56, 5,224.14 and 2,527.98

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Solution

The fourth proportional to 3,787.56, 5,224.14 and 2,527.98 is: 3,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.56 : 5,224.14 = 2,527.98 : x
  2. Step 2: Convert to fraction form
    3,787.56/5,224.14 = 2,527.98/x
  3. Step 3: Cross multiply
    3,787.56x = 5,224.14 × 2,527.98
  4. Step 4: Simplify right side
    3,787.56x = 13,206,521.44
  5. Step 5: Solve for x
    x = 13,206,521.44/3,787.56
  6. Step 6: Final answer
    x = 3,486.82

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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.