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Finding the Fourth Proportional to 3,772.02, 5,658.10 and 2,125.02

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Solution

The fourth proportional to 3,772.02, 5,658.10 and 2,125.02 is: 3,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.02 : 5,658.10 = 2,125.02 : x
  2. Step 2: Convert to fraction form
    3,772.02/5,658.10 = 2,125.02/x
  3. Step 3: Cross multiply
    3,772.02x = 5,658.10 × 2,125.02
  4. Step 4: Simplify right side
    3,772.02x = 12,023,575.66
  5. Step 5: Solve for x
    x = 12,023,575.66/3,772.02
  6. Step 6: Final answer
    x = 3,187.57

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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.