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Finding the Fourth Proportional to 4,141.47, 6,209.17 and 1,949

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Solution

The fourth proportional to 4,141.47, 6,209.17 and 1,949 is: 2,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.47 : 6,209.17 = 1,949 : x
  2. Step 2: Convert to fraction form
    4,141.47/6,209.17 = 1,949/x
  3. Step 3: Cross multiply
    4,141.47x = 6,209.17 × 1,949
  4. Step 4: Simplify right side
    4,141.47x = 12,101,662.59
  5. Step 5: Solve for x
    x = 12,101,662.59/4,141.47
  6. Step 6: Final answer
    x = 2,922.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.