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Finding the Fourth Proportional to 3,239.92, 4,858.62 and 1,159.57

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Solution

The fourth proportional to 3,239.92, 4,858.62 and 1,159.57 is: 1,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.92 : 4,858.62 = 1,159.57 : x
  2. Step 2: Convert to fraction form
    3,239.92/4,858.62 = 1,159.57/x
  3. Step 3: Cross multiply
    3,239.92x = 4,858.62 × 1,159.57
  4. Step 4: Simplify right side
    3,239.92x = 5,633,909.99
  5. Step 5: Solve for x
    x = 5,633,909.99/3,239.92
  6. Step 6: Final answer
    x = 1,738.90

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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.