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Finding the Fourth Proportional to 5,902.32, 8,145.16 and 3,249.67

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Solution

The fourth proportional to 5,902.32, 8,145.16 and 3,249.67 is: 4,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.32 : 8,145.16 = 3,249.67 : x
  2. Step 2: Convert to fraction form
    5,902.32/8,145.16 = 3,249.67/x
  3. Step 3: Cross multiply
    5,902.32x = 8,145.16 × 3,249.67
  4. Step 4: Simplify right side
    5,902.32x = 26,469,082.10
  5. Step 5: Solve for x
    x = 26,469,082.10/5,902.32
  6. Step 6: Final answer
    x = 4,484.52

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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.