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Finding the Fourth Proportional to 3,466.87, 5,200.96 and 1,126.68

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Solution

The fourth proportional to 3,466.87, 5,200.96 and 1,126.68 is: 1,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.87 : 5,200.96 = 1,126.68 : x
  2. Step 2: Convert to fraction form
    3,466.87/5,200.96 = 1,126.68/x
  3. Step 3: Cross multiply
    3,466.87x = 5,200.96 × 1,126.68
  4. Step 4: Simplify right side
    3,466.87x = 5,859,797.41
  5. Step 5: Solve for x
    x = 5,859,797.41/3,466.87
  6. Step 6: Final answer
    x = 1,690.23

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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.