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Finding the Fourth Proportional to 3,548.80, 5,329.44 and 3,069.76

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Solution

The fourth proportional to 3,548.80, 5,329.44 and 3,069.76 is: 4,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.80 : 5,329.44 = 3,069.76 : x
  2. Step 2: Convert to fraction form
    3,548.80/5,329.44 = 3,069.76/x
  3. Step 3: Cross multiply
    3,548.80x = 5,329.44 × 3,069.76
  4. Step 4: Simplify right side
    3,548.80x = 16,360,101.73
  5. Step 5: Solve for x
    x = 16,360,101.73/3,548.80
  6. Step 6: Final answer
    x = 4,610.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.