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Finding the Fourth Proportional to 3,767.30, 5,200.02 and 2,441

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Solution

The fourth proportional to 3,767.30, 5,200.02 and 2,441 is: 3,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.30 : 5,200.02 = 2,441 : x
  2. Step 2: Convert to fraction form
    3,767.30/5,200.02 = 2,441/x
  3. Step 3: Cross multiply
    3,767.30x = 5,200.02 × 2,441
  4. Step 4: Simplify right side
    3,767.30x = 12,693,248.82
  5. Step 5: Solve for x
    x = 12,693,248.82/3,767.30
  6. Step 6: Final answer
    x = 3,369.32

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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.