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Finding the Fourth Proportional to 3,515.96, 4,852.14 and 2,024.18

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Solution

The fourth proportional to 3,515.96, 4,852.14 and 2,024.18 is: 2,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.96 : 4,852.14 = 2,024.18 : x
  2. Step 2: Convert to fraction form
    3,515.96/4,852.14 = 2,024.18/x
  3. Step 3: Cross multiply
    3,515.96x = 4,852.14 × 2,024.18
  4. Step 4: Simplify right side
    3,515.96x = 9,821,591.09
  5. Step 5: Solve for x
    x = 9,821,591.09/3,515.96
  6. Step 6: Final answer
    x = 2,793.43

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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.