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Finding the Fourth Proportional to 3,906.77, 5,854.68 and 2,262.87

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Solution

The fourth proportional to 3,906.77, 5,854.68 and 2,262.87 is: 3,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.77 : 5,854.68 = 2,262.87 : x
  2. Step 2: Convert to fraction form
    3,906.77/5,854.68 = 2,262.87/x
  3. Step 3: Cross multiply
    3,906.77x = 5,854.68 × 2,262.87
  4. Step 4: Simplify right side
    3,906.77x = 13,248,379.73
  5. Step 5: Solve for x
    x = 13,248,379.73/3,906.77
  6. Step 6: Final answer
    x = 3,391.14

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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.