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Finding the Fourth Proportional to 5,890.42, 8,128.80 and 3,532.56

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Solution

The fourth proportional to 5,890.42, 8,128.80 and 3,532.56 is: 4,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.42 : 8,128.80 = 3,532.56 : x
  2. Step 2: Convert to fraction form
    5,890.42/8,128.80 = 3,532.56/x
  3. Step 3: Cross multiply
    5,890.42x = 8,128.80 × 3,532.56
  4. Step 4: Simplify right side
    5,890.42x = 28,715,473.73
  5. Step 5: Solve for x
    x = 28,715,473.73/5,890.42
  6. Step 6: Final answer
    x = 4,874.95

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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.