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Finding the Fourth Proportional to 3,535.57, 4,877.01 and 2,206.97

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Solution

The fourth proportional to 3,535.57, 4,877.01 and 2,206.97 is: 3,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.57 : 4,877.01 = 2,206.97 : x
  2. Step 2: Convert to fraction form
    3,535.57/4,877.01 = 2,206.97/x
  3. Step 3: Cross multiply
    3,535.57x = 4,877.01 × 2,206.97
  4. Step 4: Simplify right side
    3,535.57x = 10,763,422.38
  5. Step 5: Solve for x
    x = 10,763,422.38/3,535.57
  6. Step 6: Final answer
    x = 3,044.32

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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.