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Finding the Fourth Proportional to 3,778.87, 5,669.28 and 1,146.39

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Solution

The fourth proportional to 3,778.87, 5,669.28 and 1,146.39 is: 1,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.87 : 5,669.28 = 1,146.39 : x
  2. Step 2: Convert to fraction form
    3,778.87/5,669.28 = 1,146.39/x
  3. Step 3: Cross multiply
    3,778.87x = 5,669.28 × 1,146.39
  4. Step 4: Simplify right side
    3,778.87x = 6,499,205.90
  5. Step 5: Solve for x
    x = 6,499,205.90/3,778.87
  6. Step 6: Final answer
    x = 1,719.88

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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.