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Finding the Fourth Proportional to 5,690.48, 8,517.90 and 3,686.48

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Solution

The fourth proportional to 5,690.48, 8,517.90 and 3,686.48 is: 5,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.48 : 8,517.90 = 3,686.48 : x
  2. Step 2: Convert to fraction form
    5,690.48/8,517.90 = 3,686.48/x
  3. Step 3: Cross multiply
    5,690.48x = 8,517.90 × 3,686.48
  4. Step 4: Simplify right side
    5,690.48x = 31,401,067.99
  5. Step 5: Solve for x
    x = 31,401,067.99/5,690.48
  6. Step 6: Final answer
    x = 5,518.18

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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.