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Finding the Fourth Proportional to 5,412.43, 7,463.98 and 3,288.31

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Solution

The fourth proportional to 5,412.43, 7,463.98 and 3,288.31 is: 4,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.43 : 7,463.98 = 3,288.31 : x
  2. Step 2: Convert to fraction form
    5,412.43/7,463.98 = 3,288.31/x
  3. Step 3: Cross multiply
    5,412.43x = 7,463.98 × 3,288.31
  4. Step 4: Simplify right side
    5,412.43x = 24,543,826.31
  5. Step 5: Solve for x
    x = 24,543,826.31/5,412.43
  6. Step 6: Final answer
    x = 4,534.71

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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.