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Finding the Fourth Proportional to 3,723.62, 5,585.43 and 950.29

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Solution

The fourth proportional to 3,723.62, 5,585.43 and 950.29 is: 1,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.62 : 5,585.43 = 950.29 : x
  2. Step 2: Convert to fraction form
    3,723.62/5,585.43 = 950.29/x
  3. Step 3: Cross multiply
    3,723.62x = 5,585.43 × 950.29
  4. Step 4: Simplify right side
    3,723.62x = 5,307,787.68
  5. Step 5: Solve for x
    x = 5,307,787.68/3,723.62
  6. Step 6: Final answer
    x = 1,425.44

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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.