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Finding the Fourth Proportional to 5,496.72, 8,246.30 and 1,600.80

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Solution

The fourth proportional to 5,496.72, 8,246.30 and 1,600.80 is: 2,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.72 : 8,246.30 = 1,600.80 : x
  2. Step 2: Convert to fraction form
    5,496.72/8,246.30 = 1,600.80/x
  3. Step 3: Cross multiply
    5,496.72x = 8,246.30 × 1,600.80
  4. Step 4: Simplify right side
    5,496.72x = 13,200,677.04
  5. Step 5: Solve for x
    x = 13,200,677.04/5,496.72
  6. Step 6: Final answer
    x = 2,401.56

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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.