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Finding the Fourth Proportional to 4,177.78, 6,260.49 and 3,870.25

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Solution

The fourth proportional to 4,177.78, 6,260.49 and 3,870.25 is: 5,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.78 : 6,260.49 = 3,870.25 : x
  2. Step 2: Convert to fraction form
    4,177.78/6,260.49 = 3,870.25/x
  3. Step 3: Cross multiply
    4,177.78x = 6,260.49 × 3,870.25
  4. Step 4: Simplify right side
    4,177.78x = 24,229,645.77
  5. Step 5: Solve for x
    x = 24,229,645.77/4,177.78
  6. Step 6: Final answer
    x = 5,799.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.