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Finding the Fourth Proportional to 5,862.78, 8,793.63 and 1,966.68

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Solution

The fourth proportional to 5,862.78, 8,793.63 and 1,966.68 is: 2,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.78 : 8,793.63 = 1,966.68 : x
  2. Step 2: Convert to fraction form
    5,862.78/8,793.63 = 1,966.68/x
  3. Step 3: Cross multiply
    5,862.78x = 8,793.63 × 1,966.68
  4. Step 4: Simplify right side
    5,862.78x = 17,294,256.25
  5. Step 5: Solve for x
    x = 17,294,256.25/5,862.78
  6. Step 6: Final answer
    x = 2,949.84

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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.