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Finding the Fourth Proportional to 3,669.10, 5,149.70 and 3,669.10

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Solution

The fourth proportional to 3,669.10, 5,149.70 and 3,669.10 is: 5,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.10 : 5,149.70 = 3,669.10 : x
  2. Step 2: Convert to fraction form
    3,669.10/5,149.70 = 3,669.10/x
  3. Step 3: Cross multiply
    3,669.10x = 5,149.70 × 3,669.10
  4. Step 4: Simplify right side
    3,669.10x = 18,894,764.27
  5. Step 5: Solve for x
    x = 18,894,764.27/3,669.10
  6. Step 6: Final answer
    x = 5,149.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.