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Finding the Fourth Proportional to 3,512.76, 4,847.95 and 2,020.74

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Solution

The fourth proportional to 3,512.76, 4,847.95 and 2,020.74 is: 2,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.76 : 4,847.95 = 2,020.74 : x
  2. Step 2: Convert to fraction form
    3,512.76/4,847.95 = 2,020.74/x
  3. Step 3: Cross multiply
    3,512.76x = 4,847.95 × 2,020.74
  4. Step 4: Simplify right side
    3,512.76x = 9,796,446.48
  5. Step 5: Solve for x
    x = 9,796,446.48/3,512.76
  6. Step 6: Final answer
    x = 2,788.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.