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Finding the Fourth Proportional to 3,515.84, 4,851.78 and 2,024.24

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Solution

The fourth proportional to 3,515.84, 4,851.78 and 2,024.24 is: 2,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.84 : 4,851.78 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    3,515.84/4,851.78 = 2,024.24/x
  3. Step 3: Cross multiply
    3,515.84x = 4,851.78 × 2,024.24
  4. Step 4: Simplify right side
    3,515.84x = 9,821,167.15
  5. Step 5: Solve for x
    x = 9,821,167.15/3,515.84
  6. Step 6: Final answer
    x = 2,793.41

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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.