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Finding the Fourth Proportional to 3,387.74, 5,081.10 and 922.75

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Solution

The fourth proportional to 3,387.74, 5,081.10 and 922.75 is: 1,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.74 : 5,081.10 = 922.75 : x
  2. Step 2: Convert to fraction form
    3,387.74/5,081.10 = 922.75/x
  3. Step 3: Cross multiply
    3,387.74x = 5,081.10 × 922.75
  4. Step 4: Simplify right side
    3,387.74x = 4,688,585.03
  5. Step 5: Solve for x
    x = 4,688,585.03/3,387.74
  6. Step 6: Final answer
    x = 1,383.99

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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.