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Finding the Fourth Proportional to 3,519.71, 4,857.03 and 1,947.77

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Solution

The fourth proportional to 3,519.71, 4,857.03 and 1,947.77 is: 2,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.71 : 4,857.03 = 1,947.77 : x
  2. Step 2: Convert to fraction form
    3,519.71/4,857.03 = 1,947.77/x
  3. Step 3: Cross multiply
    3,519.71x = 4,857.03 × 1,947.77
  4. Step 4: Simplify right side
    3,519.71x = 9,460,377.32
  5. Step 5: Solve for x
    x = 9,460,377.32/3,519.71
  6. Step 6: Final answer
    x = 2,687.83

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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.