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Finding the Fourth Proportional to 4,158.80, 5,737.02 and 2,564.90

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Solution

The fourth proportional to 4,158.80, 5,737.02 and 2,564.90 is: 3,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.80 : 5,737.02 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    4,158.80/5,737.02 = 2,564.90/x
  3. Step 3: Cross multiply
    4,158.80x = 5,737.02 × 2,564.90
  4. Step 4: Simplify right side
    4,158.80x = 14,714,882.60
  5. Step 5: Solve for x
    x = 14,714,882.60/4,158.80
  6. Step 6: Final answer
    x = 3,538.25

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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.