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Finding the Fourth Proportional to 6,197.52, 9,298.20 and 2,910.48

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Solution

The fourth proportional to 6,197.52, 9,298.20 and 2,910.48 is: 4,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.52 : 9,298.20 = 2,910.48 : x
  2. Step 2: Convert to fraction form
    6,197.52/9,298.20 = 2,910.48/x
  3. Step 3: Cross multiply
    6,197.52x = 9,298.20 × 2,910.48
  4. Step 4: Simplify right side
    6,197.52x = 27,062,225.14
  5. Step 5: Solve for x
    x = 27,062,225.14/6,197.52
  6. Step 6: Final answer
    x = 4,366.62

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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.