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Finding the Fourth Proportional to 5,862.83, 8,788.10 and 2,162.70

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Solution

The fourth proportional to 5,862.83, 8,788.10 and 2,162.70 is: 3,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.83 : 8,788.10 = 2,162.70 : x
  2. Step 2: Convert to fraction form
    5,862.83/8,788.10 = 2,162.70/x
  3. Step 3: Cross multiply
    5,862.83x = 8,788.10 × 2,162.70
  4. Step 4: Simplify right side
    5,862.83x = 19,006,013.06
  5. Step 5: Solve for x
    x = 19,006,013.06/5,862.83
  6. Step 6: Final answer
    x = 3,241.78

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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.