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Finding the Fourth Proportional to 5,667.71, 7,819.19 and 3,277.24

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Solution

The fourth proportional to 5,667.71, 7,819.19 and 3,277.24 is: 4,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.71 : 7,819.19 = 3,277.24 : x
  2. Step 2: Convert to fraction form
    5,667.71/7,819.19 = 3,277.24/x
  3. Step 3: Cross multiply
    5,667.71x = 7,819.19 × 3,277.24
  4. Step 4: Simplify right side
    5,667.71x = 25,625,306.75
  5. Step 5: Solve for x
    x = 25,625,306.75/5,667.71
  6. Step 6: Final answer
    x = 4,521.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.