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Finding the Fourth Proportional to 3,349.97, 5,026.16 and 1,158.92

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Solution

The fourth proportional to 3,349.97, 5,026.16 and 1,158.92 is: 1,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.97 : 5,026.16 = 1,158.92 : x
  2. Step 2: Convert to fraction form
    3,349.97/5,026.16 = 1,158.92/x
  3. Step 3: Cross multiply
    3,349.97x = 5,026.16 × 1,158.92
  4. Step 4: Simplify right side
    3,349.97x = 5,824,917.35
  5. Step 5: Solve for x
    x = 5,824,917.35/3,349.97
  6. Step 6: Final answer
    x = 1,738.80

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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.