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Finding the Fourth Proportional to 5,200.08, 7,786.20 and 3,248.40

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Solution

The fourth proportional to 5,200.08, 7,786.20 and 3,248.40 is: 4,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.08 : 7,786.20 = 3,248.40 : x
  2. Step 2: Convert to fraction form
    5,200.08/7,786.20 = 3,248.40/x
  3. Step 3: Cross multiply
    5,200.08x = 7,786.20 × 3,248.40
  4. Step 4: Simplify right side
    5,200.08x = 25,292,692.08
  5. Step 5: Solve for x
    x = 25,292,692.08/5,200.08
  6. Step 6: Final answer
    x = 4,863.90

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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.