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Finding the Fourth Proportional to 3,349.93, 5,023.14 and 1,158.15

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Solution

The fourth proportional to 3,349.93, 5,023.14 and 1,158.15 is: 1,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.93 : 5,023.14 = 1,158.15 : x
  2. Step 2: Convert to fraction form
    3,349.93/5,023.14 = 1,158.15/x
  3. Step 3: Cross multiply
    3,349.93x = 5,023.14 × 1,158.15
  4. Step 4: Simplify right side
    3,349.93x = 5,817,549.59
  5. Step 5: Solve for x
    x = 5,817,549.59/3,349.93
  6. Step 6: Final answer
    x = 1,736.62

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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.