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Finding the Fourth Proportional to 3,723.55, 5,585.28 and 950.19

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Solution

The fourth proportional to 3,723.55, 5,585.28 and 950.19 is: 1,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.55 : 5,585.28 = 950.19 : x
  2. Step 2: Convert to fraction form
    3,723.55/5,585.28 = 950.19/x
  3. Step 3: Cross multiply
    3,723.55x = 5,585.28 × 950.19
  4. Step 4: Simplify right side
    3,723.55x = 5,307,077.20
  5. Step 5: Solve for x
    x = 5,307,077.20/3,723.55
  6. Step 6: Final answer
    x = 1,425.27

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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.