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Finding the Fourth Proportional to 5,209.60, 7,806.72 and 4,061.44

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Solution

The fourth proportional to 5,209.60, 7,806.72 and 4,061.44 is: 6,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.60 : 7,806.72 = 4,061.44 : x
  2. Step 2: Convert to fraction form
    5,209.60/7,806.72 = 4,061.44/x
  3. Step 3: Cross multiply
    5,209.60x = 7,806.72 × 4,061.44
  4. Step 4: Simplify right side
    5,209.60x = 31,706,524.88
  5. Step 5: Solve for x
    x = 31,706,524.88/5,209.60
  6. Step 6: Final answer
    x = 6,086.17

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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.