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Finding the Fourth Proportional to 3,569.92, 4,926.49 and 1,998

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Solution

The fourth proportional to 3,569.92, 4,926.49 and 1,998 is: 2,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.92 : 4,926.49 = 1,998 : x
  2. Step 2: Convert to fraction form
    3,569.92/4,926.49 = 1,998/x
  3. Step 3: Cross multiply
    3,569.92x = 4,926.49 × 1,998
  4. Step 4: Simplify right side
    3,569.92x = 9,843,122.03
  5. Step 5: Solve for x
    x = 9,843,122.03/3,569.92
  6. Step 6: Final answer
    x = 2,757.24

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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.