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Finding the Fourth Proportional to 4,823.52, 6,652.70 and 3,229.66

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Solution

The fourth proportional to 4,823.52, 6,652.70 and 3,229.66 is: 4,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.52 : 6,652.70 = 3,229.66 : x
  2. Step 2: Convert to fraction form
    4,823.52/6,652.70 = 3,229.66/x
  3. Step 3: Cross multiply
    4,823.52x = 6,652.70 × 3,229.66
  4. Step 4: Simplify right side
    4,823.52x = 21,485,926.30
  5. Step 5: Solve for x
    x = 21,485,926.30/4,823.52
  6. Step 6: Final answer
    x = 4,454.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.