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Finding the Fourth Proportional to 3,766.83, 5,197.17 and 2,349.87

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Solution

The fourth proportional to 3,766.83, 5,197.17 and 2,349.87 is: 3,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.83 : 5,197.17 = 2,349.87 : x
  2. Step 2: Convert to fraction form
    3,766.83/5,197.17 = 2,349.87/x
  3. Step 3: Cross multiply
    3,766.83x = 5,197.17 × 2,349.87
  4. Step 4: Simplify right side
    3,766.83x = 12,212,673.87
  5. Step 5: Solve for x
    x = 12,212,673.87/3,766.83
  6. Step 6: Final answer
    x = 3,242.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.