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Finding the Fourth Proportional to 5,690.80, 8,536.20 and 5,306.80

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Solution

The fourth proportional to 5,690.80, 8,536.20 and 5,306.80 is: 7,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.80 : 8,536.20 = 5,306.80 : x
  2. Step 2: Convert to fraction form
    5,690.80/8,536.20 = 5,306.80/x
  3. Step 3: Cross multiply
    5,690.80x = 8,536.20 × 5,306.80
  4. Step 4: Simplify right side
    5,690.80x = 45,299,906.16
  5. Step 5: Solve for x
    x = 45,299,906.16/5,690.80
  6. Step 6: Final answer
    x = 7,960.20

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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.