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Finding the Fourth Proportional to 5,166.77, 7,747.85 and 1,468.14

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Solution

The fourth proportional to 5,166.77, 7,747.85 and 1,468.14 is: 2,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.77 : 7,747.85 = 1,468.14 : x
  2. Step 2: Convert to fraction form
    5,166.77/7,747.85 = 1,468.14/x
  3. Step 3: Cross multiply
    5,166.77x = 7,747.85 × 1,468.14
  4. Step 4: Simplify right side
    5,166.77x = 11,374,904.72
  5. Step 5: Solve for x
    x = 11,374,904.72/5,166.77
  6. Step 6: Final answer
    x = 2,201.55

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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.