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Finding the Fourth Proportional to 5,337.42, 8,006.31 and 1,441.86

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Solution

The fourth proportional to 5,337.42, 8,006.31 and 1,441.86 is: 2,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.42 : 8,006.31 = 1,441.86 : x
  2. Step 2: Convert to fraction form
    5,337.42/8,006.31 = 1,441.86/x
  3. Step 3: Cross multiply
    5,337.42x = 8,006.31 × 1,441.86
  4. Step 4: Simplify right side
    5,337.42x = 11,543,978.14
  5. Step 5: Solve for x
    x = 11,543,978.14/5,337.42
  6. Step 6: Final answer
    x = 2,162.84

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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.