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Finding the Fourth Proportional to 5,902.84, 8,859.73 and 2,983.20

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Solution

The fourth proportional to 5,902.84, 8,859.73 and 2,983.20 is: 4,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.84 : 8,859.73 = 2,983.20 : x
  2. Step 2: Convert to fraction form
    5,902.84/8,859.73 = 2,983.20/x
  3. Step 3: Cross multiply
    5,902.84x = 8,859.73 × 2,983.20
  4. Step 4: Simplify right side
    5,902.84x = 26,430,346.54
  5. Step 5: Solve for x
    x = 26,430,346.54/5,902.84
  6. Step 6: Final answer
    x = 4,477.56

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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.