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Finding the Fourth Proportional to 4,238.78, 6,358.22 and 1,160.78

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Solution

The fourth proportional to 4,238.78, 6,358.22 and 1,160.78 is: 1,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.78 : 6,358.22 = 1,160.78 : x
  2. Step 2: Convert to fraction form
    4,238.78/6,358.22 = 1,160.78/x
  3. Step 3: Cross multiply
    4,238.78x = 6,358.22 × 1,160.78
  4. Step 4: Simplify right side
    4,238.78x = 7,380,494.61
  5. Step 5: Solve for x
    x = 7,380,494.61/4,238.78
  6. Step 6: Final answer
    x = 1,741.18

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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.