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Finding the Fourth Proportional to 4,145.59, 5,720.88 and 2,257.15

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Solution

The fourth proportional to 4,145.59, 5,720.88 and 2,257.15 is: 3,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.59 : 5,720.88 = 2,257.15 : x
  2. Step 2: Convert to fraction form
    4,145.59/5,720.88 = 2,257.15/x
  3. Step 3: Cross multiply
    4,145.59x = 5,720.88 × 2,257.15
  4. Step 4: Simplify right side
    4,145.59x = 12,912,884.29
  5. Step 5: Solve for x
    x = 12,912,884.29/4,145.59
  6. Step 6: Final answer
    x = 3,114.85

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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.