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Finding the Fourth Proportional to 3,822.40, 5,730.90 and 1,743.40

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Solution

The fourth proportional to 3,822.40, 5,730.90 and 1,743.40 is: 2,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.40 : 5,730.90 = 1,743.40 : x
  2. Step 2: Convert to fraction form
    3,822.40/5,730.90 = 1,743.40/x
  3. Step 3: Cross multiply
    3,822.40x = 5,730.90 × 1,743.40
  4. Step 4: Simplify right side
    3,822.40x = 9,991,251.06
  5. Step 5: Solve for x
    x = 9,991,251.06/3,822.40
  6. Step 6: Final answer
    x = 2,613.87

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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.