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Finding the Fourth Proportional to 3,705.91, 5,115.46 and 2,290.68

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Solution

The fourth proportional to 3,705.91, 5,115.46 and 2,290.68 is: 3,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.91 : 5,115.46 = 2,290.68 : x
  2. Step 2: Convert to fraction form
    3,705.91/5,115.46 = 2,290.68/x
  3. Step 3: Cross multiply
    3,705.91x = 5,115.46 × 2,290.68
  4. Step 4: Simplify right side
    3,705.91x = 11,717,876.19
  5. Step 5: Solve for x
    x = 11,717,876.19/3,705.91
  6. Step 6: Final answer
    x = 3,161.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.