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Finding the Fourth Proportional to 4,157.65, 5,737.56 and 2,269.20

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Solution

The fourth proportional to 4,157.65, 5,737.56 and 2,269.20 is: 3,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.65 : 5,737.56 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    4,157.65/5,737.56 = 2,269.20/x
  3. Step 3: Cross multiply
    4,157.65x = 5,737.56 × 2,269.20
  4. Step 4: Simplify right side
    4,157.65x = 13,019,658.27
  5. Step 5: Solve for x
    x = 13,019,658.27/4,157.65
  6. Step 6: Final answer
    x = 3,131.49

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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.