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Finding the Fourth Proportional to 3,723.50, 5,585.25 and 950.17

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Solution

The fourth proportional to 3,723.50, 5,585.25 and 950.17 is: 1,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.50 : 5,585.25 = 950.17 : x
  2. Step 2: Convert to fraction form
    3,723.50/5,585.25 = 950.17/x
  3. Step 3: Cross multiply
    3,723.50x = 5,585.25 × 950.17
  4. Step 4: Simplify right side
    3,723.50x = 5,306,964.31
  5. Step 5: Solve for x
    x = 5,306,964.31/3,723.50
  6. Step 6: Final answer
    x = 1,425.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.