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Finding the Fourth Proportional to 3,851.96, 5,778.08 and 1,078.52

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Solution

The fourth proportional to 3,851.96, 5,778.08 and 1,078.52 is: 1,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.96 : 5,778.08 = 1,078.52 : x
  2. Step 2: Convert to fraction form
    3,851.96/5,778.08 = 1,078.52/x
  3. Step 3: Cross multiply
    3,851.96x = 5,778.08 × 1,078.52
  4. Step 4: Simplify right side
    3,851.96x = 6,231,774.84
  5. Step 5: Solve for x
    x = 6,231,774.84/3,851.96
  6. Step 6: Final answer
    x = 1,617.82

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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.