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Finding the Fourth Proportional to 4,145.70, 5,720.96 and 2,257.24

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Solution

The fourth proportional to 4,145.70, 5,720.96 and 2,257.24 is: 3,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.70 : 5,720.96 = 2,257.24 : x
  2. Step 2: Convert to fraction form
    4,145.70/5,720.96 = 2,257.24/x
  3. Step 3: Cross multiply
    4,145.70x = 5,720.96 × 2,257.24
  4. Step 4: Simplify right side
    4,145.70x = 12,913,568.46
  5. Step 5: Solve for x
    x = 12,913,568.46/4,145.70
  6. Step 6: Final answer
    x = 3,114.93

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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.