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Finding the Fourth Proportional to 5,881.05, 8,819.06 and 1,983.69

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Solution

The fourth proportional to 5,881.05, 8,819.06 and 1,983.69 is: 2,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.05 : 8,819.06 = 1,983.69 : x
  2. Step 2: Convert to fraction form
    5,881.05/8,819.06 = 1,983.69/x
  3. Step 3: Cross multiply
    5,881.05x = 8,819.06 × 1,983.69
  4. Step 4: Simplify right side
    5,881.05x = 17,494,271.21
  5. Step 5: Solve for x
    x = 17,494,271.21/5,881.05
  6. Step 6: Final answer
    x = 2,974.68

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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.