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Finding the Fourth Proportional to 3,737.59, 5,157.82 and 2,165.65

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Solution

The fourth proportional to 3,737.59, 5,157.82 and 2,165.65 is: 2,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.59 : 5,157.82 = 2,165.65 : x
  2. Step 2: Convert to fraction form
    3,737.59/5,157.82 = 2,165.65/x
  3. Step 3: Cross multiply
    3,737.59x = 5,157.82 × 2,165.65
  4. Step 4: Simplify right side
    3,737.59x = 11,170,032.88
  5. Step 5: Solve for x
    x = 11,170,032.88/3,737.59
  6. Step 6: Final answer
    x = 2,988.57

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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.