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Finding the Fourth Proportional to 3,723.91, 5,585.74 and 950.57

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Solution

The fourth proportional to 3,723.91, 5,585.74 and 950.57 is: 1,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.91 : 5,585.74 = 950.57 : x
  2. Step 2: Convert to fraction form
    3,723.91/5,585.74 = 950.57/x
  3. Step 3: Cross multiply
    3,723.91x = 5,585.74 × 950.57
  4. Step 4: Simplify right side
    3,723.91x = 5,309,631.08
  5. Step 5: Solve for x
    x = 5,309,631.08/3,723.91
  6. Step 6: Final answer
    x = 1,425.82

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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.