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Finding the Fourth Proportional to 5,764.97, 8,638.65 and 2,992.55

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Solution

The fourth proportional to 5,764.97, 8,638.65 and 2,992.55 is: 4,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.97 : 8,638.65 = 2,992.55 : x
  2. Step 2: Convert to fraction form
    5,764.97/8,638.65 = 2,992.55/x
  3. Step 3: Cross multiply
    5,764.97x = 8,638.65 × 2,992.55
  4. Step 4: Simplify right side
    5,764.97x = 25,851,548.86
  5. Step 5: Solve for x
    x = 25,851,548.86/5,764.97
  6. Step 6: Final answer
    x = 4,484.24

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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.