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Finding the Fourth Proportional to 5,902.87, 8,145.66 and 3,249.76

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Solution

The fourth proportional to 5,902.87, 8,145.66 and 3,249.76 is: 4,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.87 : 8,145.66 = 3,249.76 : x
  2. Step 2: Convert to fraction form
    5,902.87/8,145.66 = 3,249.76/x
  3. Step 3: Cross multiply
    5,902.87x = 8,145.66 × 3,249.76
  4. Step 4: Simplify right side
    5,902.87x = 26,471,440.04
  5. Step 5: Solve for x
    x = 26,471,440.04/5,902.87
  6. Step 6: Final answer
    x = 4,484.50

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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.