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Finding the Fourth Proportional to 3,617.67, 4,992.64 and 2,024.47

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Solution

The fourth proportional to 3,617.67, 4,992.64 and 2,024.47 is: 2,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.67 : 4,992.64 = 2,024.47 : x
  2. Step 2: Convert to fraction form
    3,617.67/4,992.64 = 2,024.47/x
  3. Step 3: Cross multiply
    3,617.67x = 4,992.64 × 2,024.47
  4. Step 4: Simplify right side
    3,617.67x = 10,107,427.30
  5. Step 5: Solve for x
    x = 10,107,427.30/3,617.67
  6. Step 6: Final answer
    x = 2,793.91

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Why These Related Problems?

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