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Finding the Fourth Proportional to 3,723.97, 5,585.95 and 950.64

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Solution

The fourth proportional to 3,723.97, 5,585.95 and 950.64 is: 1,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.97 : 5,585.95 = 950.64 : x
  2. Step 2: Convert to fraction form
    3,723.97/5,585.95 = 950.64/x
  3. Step 3: Cross multiply
    3,723.97x = 5,585.95 × 950.64
  4. Step 4: Simplify right side
    3,723.97x = 5,310,251.43
  5. Step 5: Solve for x
    x = 5,310,251.43/3,723.97
  6. Step 6: Final answer
    x = 1,425.96

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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.