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Finding the Fourth Proportional to 3,737.81, 5,596.69 and 2,089.66

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Solution

The fourth proportional to 3,737.81, 5,596.69 and 2,089.66 is: 3,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.81 : 5,596.69 = 2,089.66 : x
  2. Step 2: Convert to fraction form
    3,737.81/5,596.69 = 2,089.66/x
  3. Step 3: Cross multiply
    3,737.81x = 5,596.69 × 2,089.66
  4. Step 4: Simplify right side
    3,737.81x = 11,695,168.78
  5. Step 5: Solve for x
    x = 11,695,168.78/3,737.81
  6. Step 6: Final answer
    x = 3,128.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.