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Finding the Fourth Proportional to 3,238.76, 4,856.94 and 1,158.20

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Solution

The fourth proportional to 3,238.76, 4,856.94 and 1,158.20 is: 1,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.76 : 4,856.94 = 1,158.20 : x
  2. Step 2: Convert to fraction form
    3,238.76/4,856.94 = 1,158.20/x
  3. Step 3: Cross multiply
    3,238.76x = 4,856.94 × 1,158.20
  4. Step 4: Simplify right side
    3,238.76x = 5,625,294.04
  5. Step 5: Solve for x
    x = 5,625,294.04/3,238.76
  6. Step 6: Final answer
    x = 1,736.87

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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.