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Finding the Fourth Proportional to 4,969.92, 7,454.76 and 2,046.20

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Solution

The fourth proportional to 4,969.92, 7,454.76 and 2,046.20 is: 3,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.92 : 7,454.76 = 2,046.20 : x
  2. Step 2: Convert to fraction form
    4,969.92/7,454.76 = 2,046.20/x
  3. Step 3: Cross multiply
    4,969.92x = 7,454.76 × 2,046.20
  4. Step 4: Simplify right side
    4,969.92x = 15,253,929.91
  5. Step 5: Solve for x
    x = 15,253,929.91/4,969.92
  6. Step 6: Final answer
    x = 3,069.25

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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.