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Finding the Fourth Proportional to 3,737.34, 5,607.93 and 1,658.78

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Solution

The fourth proportional to 3,737.34, 5,607.93 and 1,658.78 is: 2,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.34 : 5,607.93 = 1,658.78 : x
  2. Step 2: Convert to fraction form
    3,737.34/5,607.93 = 1,658.78/x
  3. Step 3: Cross multiply
    3,737.34x = 5,607.93 × 1,658.78
  4. Step 4: Simplify right side
    3,737.34x = 9,302,321.34
  5. Step 5: Solve for x
    x = 9,302,321.34/3,737.34
  6. Step 6: Final answer
    x = 2,489.02

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Why These Related Problems?

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