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Finding the Fourth Proportional to 5,311.68, 7,330.85 and 3,074.86

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Solution

The fourth proportional to 5,311.68, 7,330.85 and 3,074.86 is: 4,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.68 : 7,330.85 = 3,074.86 : x
  2. Step 2: Convert to fraction form
    5,311.68/7,330.85 = 3,074.86/x
  3. Step 3: Cross multiply
    5,311.68x = 7,330.85 × 3,074.86
  4. Step 4: Simplify right side
    5,311.68x = 22,541,337.43
  5. Step 5: Solve for x
    x = 22,541,337.43/5,311.68
  6. Step 6: Final answer
    x = 4,243.73

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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.