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Finding the Fourth Proportional to 3,463.49, 4,780.23 and 2,047.12

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Solution

The fourth proportional to 3,463.49, 4,780.23 and 2,047.12 is: 2,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.49 : 4,780.23 = 2,047.12 : x
  2. Step 2: Convert to fraction form
    3,463.49/4,780.23 = 2,047.12/x
  3. Step 3: Cross multiply
    3,463.49x = 4,780.23 × 2,047.12
  4. Step 4: Simplify right side
    3,463.49x = 9,785,704.44
  5. Step 5: Solve for x
    x = 9,785,704.44/3,463.49
  6. Step 6: Final answer
    x = 2,825.39

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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.