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Finding the Fourth Proportional to 5,734.40, 7,912.08 and 3,343.68

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Solution

The fourth proportional to 5,734.40, 7,912.08 and 3,343.68 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.40 : 7,912.08 = 3,343.68 : x
  2. Step 2: Convert to fraction form
    5,734.40/7,912.08 = 3,343.68/x
  3. Step 3: Cross multiply
    5,734.40x = 7,912.08 × 3,343.68
  4. Step 4: Simplify right side
    5,734.40x = 26,455,463.65
  5. Step 5: Solve for x
    x = 26,455,463.65/5,734.40
  6. Step 6: Final answer
    x = 4,613.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.