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Finding the Fourth Proportional to 4,189.76, 6,283.17 and 1,227.39

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Solution

The fourth proportional to 4,189.76, 6,283.17 and 1,227.39 is: 1,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.76 : 6,283.17 = 1,227.39 : x
  2. Step 2: Convert to fraction form
    4,189.76/6,283.17 = 1,227.39/x
  3. Step 3: Cross multiply
    4,189.76x = 6,283.17 × 1,227.39
  4. Step 4: Simplify right side
    4,189.76x = 7,711,900.03
  5. Step 5: Solve for x
    x = 7,711,900.03/4,189.76
  6. Step 6: Final answer
    x = 1,840.65

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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.