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Finding the Fourth Proportional to 3,671.57, 5,069.40 and 2,257.16

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Solution

The fourth proportional to 3,671.57, 5,069.40 and 2,257.16 is: 3,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.57 : 5,069.40 = 2,257.16 : x
  2. Step 2: Convert to fraction form
    3,671.57/5,069.40 = 2,257.16/x
  3. Step 3: Cross multiply
    3,671.57x = 5,069.40 × 2,257.16
  4. Step 4: Simplify right side
    3,671.57x = 11,442,446.40
  5. Step 5: Solve for x
    x = 11,442,446.40/3,671.57
  6. Step 6: Final answer
    x = 3,116.50

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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.