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Finding the Fourth Proportional to 4,600.80, 6,352.56 and 3,209.76

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Solution

The fourth proportional to 4,600.80, 6,352.56 and 3,209.76 is: 4,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.80 : 6,352.56 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    4,600.80/6,352.56 = 3,209.76/x
  3. Step 3: Cross multiply
    4,600.80x = 6,352.56 × 3,209.76
  4. Step 4: Simplify right side
    4,600.80x = 20,390,192.99
  5. Step 5: Solve for x
    x = 20,390,192.99/4,600.80
  6. Step 6: Final answer
    x = 4,431.88

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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.