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Finding the Fourth Proportional to 5,822.12, 8,034.81 and 3,432.80

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Solution

The fourth proportional to 5,822.12, 8,034.81 and 3,432.80 is: 4,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.12 : 8,034.81 = 3,432.80 : x
  2. Step 2: Convert to fraction form
    5,822.12/8,034.81 = 3,432.80/x
  3. Step 3: Cross multiply
    5,822.12x = 8,034.81 × 3,432.80
  4. Step 4: Simplify right side
    5,822.12x = 27,581,895.77
  5. Step 5: Solve for x
    x = 27,581,895.77/5,822.12
  6. Step 6: Final answer
    x = 4,737.43

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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.