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Finding the Fourth Proportional to 3,854.48, 5,778.20 and 1,388.75

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Solution

The fourth proportional to 3,854.48, 5,778.20 and 1,388.75 is: 2,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.48 : 5,778.20 = 1,388.75 : x
  2. Step 2: Convert to fraction form
    3,854.48/5,778.20 = 1,388.75/x
  3. Step 3: Cross multiply
    3,854.48x = 5,778.20 × 1,388.75
  4. Step 4: Simplify right side
    3,854.48x = 8,024,449.83
  5. Step 5: Solve for x
    x = 8,024,449.83/3,854.48
  6. Step 6: Final answer
    x = 2,081.85

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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.