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Finding the Fourth Proportional to 5,776.18, 8,655.76 and 2,648.46

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Solution

The fourth proportional to 5,776.18, 8,655.76 and 2,648.46 is: 3,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.18 : 8,655.76 = 2,648.46 : x
  2. Step 2: Convert to fraction form
    5,776.18/8,655.76 = 2,648.46/x
  3. Step 3: Cross multiply
    5,776.18x = 8,655.76 × 2,648.46
  4. Step 4: Simplify right side
    5,776.18x = 22,924,469.90
  5. Step 5: Solve for x
    x = 22,924,469.90/5,776.18
  6. Step 6: Final answer
    x = 3,968.80

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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.