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Finding the Fourth Proportional to 3,617.60, 4,992.49 and 2,024.16

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Solution

The fourth proportional to 3,617.60, 4,992.49 and 2,024.16 is: 2,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.60 : 4,992.49 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    3,617.60/4,992.49 = 2,024.16/x
  3. Step 3: Cross multiply
    3,617.60x = 4,992.49 × 2,024.16
  4. Step 4: Simplify right side
    3,617.60x = 10,105,563.48
  5. Step 5: Solve for x
    x = 10,105,563.48/3,617.60
  6. Step 6: Final answer
    x = 2,793.44

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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.