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Finding the Fourth Proportional to 7,937.59, 11,897.88 and 3,775

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Solution

The fourth proportional to 7,937.59, 11,897.88 and 3,775 is: 5,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.59 : 11,897.88 = 3,775 : x
  2. Step 2: Convert to fraction form
    7,937.59/11,897.88 = 3,775/x
  3. Step 3: Cross multiply
    7,937.59x = 11,897.88 × 3,775
  4. Step 4: Simplify right side
    7,937.59x = 44,914,497
  5. Step 5: Solve for x
    x = 44,914,497/7,937.59
  6. Step 6: Final answer
    x = 5,658.46

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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.