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Finding the Fourth Proportional to 3,463.97, 4,780.13 and 1,892.03

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Solution

The fourth proportional to 3,463.97, 4,780.13 and 1,892.03 is: 2,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.97 : 4,780.13 = 1,892.03 : x
  2. Step 2: Convert to fraction form
    3,463.97/4,780.13 = 1,892.03/x
  3. Step 3: Cross multiply
    3,463.97x = 4,780.13 × 1,892.03
  4. Step 4: Simplify right side
    3,463.97x = 9,044,116.00
  5. Step 5: Solve for x
    x = 9,044,116.00/3,463.97
  6. Step 6: Final answer
    x = 2,610.91

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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.