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Finding the Fourth Proportional to 5,902.46, 8,859.16 and 2,982.82

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Solution

The fourth proportional to 5,902.46, 8,859.16 and 2,982.82 is: 4,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.46 : 8,859.16 = 2,982.82 : x
  2. Step 2: Convert to fraction form
    5,902.46/8,859.16 = 2,982.82/x
  3. Step 3: Cross multiply
    5,902.46x = 8,859.16 × 2,982.82
  4. Step 4: Simplify right side
    5,902.46x = 26,425,279.63
  5. Step 5: Solve for x
    x = 26,425,279.63/5,902.46
  6. Step 6: Final answer
    x = 4,476.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.