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Finding the Fourth Proportional to 3,466.45, 5,200.49 and 1,126.45

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Solution

The fourth proportional to 3,466.45, 5,200.49 and 1,126.45 is: 1,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.45 : 5,200.49 = 1,126.45 : x
  2. Step 2: Convert to fraction form
    3,466.45/5,200.49 = 1,126.45/x
  3. Step 3: Cross multiply
    3,466.45x = 5,200.49 × 1,126.45
  4. Step 4: Simplify right side
    3,466.45x = 5,858,091.96
  5. Step 5: Solve for x
    x = 5,858,091.96/3,466.45
  6. Step 6: Final answer
    x = 1,689.94

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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.