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Finding the Fourth Proportional to 5,841.91, 8,756.38 and 2,331

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Solution

The fourth proportional to 5,841.91, 8,756.38 and 2,331 is: 3,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.91 : 8,756.38 = 2,331 : x
  2. Step 2: Convert to fraction form
    5,841.91/8,756.38 = 2,331/x
  3. Step 3: Cross multiply
    5,841.91x = 8,756.38 × 2,331
  4. Step 4: Simplify right side
    5,841.91x = 20,411,121.78
  5. Step 5: Solve for x
    x = 20,411,121.78/5,841.91
  6. Step 6: Final answer
    x = 3,493.91

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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.