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Finding the Fourth Proportional to 3,327.22, 4,990.80 and 862.02

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Solution

The fourth proportional to 3,327.22, 4,990.80 and 862.02 is: 1,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.22 : 4,990.80 = 862.02 : x
  2. Step 2: Convert to fraction form
    3,327.22/4,990.80 = 862.02/x
  3. Step 3: Cross multiply
    3,327.22x = 4,990.80 × 862.02
  4. Step 4: Simplify right side
    3,327.22x = 4,302,169.42
  5. Step 5: Solve for x
    x = 4,302,169.42/3,327.22
  6. Step 6: Final answer
    x = 1,293.02

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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.