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Finding the Fourth Proportional to 6,199.20, 9,292.64 and 2,500.80

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Solution

The fourth proportional to 6,199.20, 9,292.64 and 2,500.80 is: 3,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.20 : 9,292.64 = 2,500.80 : x
  2. Step 2: Convert to fraction form
    6,199.20/9,292.64 = 2,500.80/x
  3. Step 3: Cross multiply
    6,199.20x = 9,292.64 × 2,500.80
  4. Step 4: Simplify right side
    6,199.20x = 23,239,034.11
  5. Step 5: Solve for x
    x = 23,239,034.11/6,199.20
  6. Step 6: Final answer
    x = 3,748.72

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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.