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Finding the Fourth Proportional to 5,787.41, 7,986.14 and 3,397.12

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Solution

The fourth proportional to 5,787.41, 7,986.14 and 3,397.12 is: 4,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.41 : 7,986.14 = 3,397.12 : x
  2. Step 2: Convert to fraction form
    5,787.41/7,986.14 = 3,397.12/x
  3. Step 3: Cross multiply
    5,787.41x = 7,986.14 × 3,397.12
  4. Step 4: Simplify right side
    5,787.41x = 27,129,875.92
  5. Step 5: Solve for x
    x = 27,129,875.92/5,787.41
  6. Step 6: Final answer
    x = 4,687.74

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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.