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Finding the Fourth Proportional to 3,658.80, 5,480.10 and 3,248.40

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Solution

The fourth proportional to 3,658.80, 5,480.10 and 3,248.40 is: 4,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.80 : 5,480.10 = 3,248.40 : x
  2. Step 2: Convert to fraction form
    3,658.80/5,480.10 = 3,248.40/x
  3. Step 3: Cross multiply
    3,658.80x = 5,480.10 × 3,248.40
  4. Step 4: Simplify right side
    3,658.80x = 17,801,556.84
  5. Step 5: Solve for x
    x = 17,801,556.84/3,658.80
  6. Step 6: Final answer
    x = 4,865.41

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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.