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Finding the Fourth Proportional to 5,862.94, 8,796.24 and 1,967.52

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Solution

The fourth proportional to 5,862.94, 8,796.24 and 1,967.52 is: 2,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.94 : 8,796.24 = 1,967.52 : x
  2. Step 2: Convert to fraction form
    5,862.94/8,796.24 = 1,967.52/x
  3. Step 3: Cross multiply
    5,862.94x = 8,796.24 × 1,967.52
  4. Step 4: Simplify right side
    5,862.94x = 17,306,778.12
  5. Step 5: Solve for x
    x = 17,306,778.12/5,862.94
  6. Step 6: Final answer
    x = 2,951.89

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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.