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Finding the Fourth Proportional to 3,771.92, 5,658.16 and 1,139.22

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Solution

The fourth proportional to 3,771.92, 5,658.16 and 1,139.22 is: 1,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.92 : 5,658.16 = 1,139.22 : x
  2. Step 2: Convert to fraction form
    3,771.92/5,658.16 = 1,139.22/x
  3. Step 3: Cross multiply
    3,771.92x = 5,658.16 × 1,139.22
  4. Step 4: Simplify right side
    3,771.92x = 6,445,889.04
  5. Step 5: Solve for x
    x = 6,445,889.04/3,771.92
  6. Step 6: Final answer
    x = 1,708.91

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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.