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Finding the Fourth Proportional to 5,691.54, 8,522.91 and 3,840.66

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Solution

The fourth proportional to 5,691.54, 8,522.91 and 3,840.66 is: 5,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.54 : 8,522.91 = 3,840.66 : x
  2. Step 2: Convert to fraction form
    5,691.54/8,522.91 = 3,840.66/x
  3. Step 3: Cross multiply
    5,691.54x = 8,522.91 × 3,840.66
  4. Step 4: Simplify right side
    5,691.54x = 32,733,599.52
  5. Step 5: Solve for x
    x = 32,733,599.52/5,691.54
  6. Step 6: Final answer
    x = 5,751.27

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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.