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Finding the Fourth Proportional to 3,737.96, 5,121.03 and 3,597.83

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Solution

The fourth proportional to 3,737.96, 5,121.03 and 3,597.83 is: 4,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.96 : 5,121.03 = 3,597.83 : x
  2. Step 2: Convert to fraction form
    3,737.96/5,121.03 = 3,597.83/x
  3. Step 3: Cross multiply
    3,737.96x = 5,121.03 × 3,597.83
  4. Step 4: Simplify right side
    3,737.96x = 18,424,551.77
  5. Step 5: Solve for x
    x = 18,424,551.77/3,737.96
  6. Step 6: Final answer
    x = 4,929.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.