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Finding the Fourth Proportional to 3,766.74, 5,195.02 and 2,651.37

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Solution

The fourth proportional to 3,766.74, 5,195.02 and 2,651.37 is: 3,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.74 : 5,195.02 = 2,651.37 : x
  2. Step 2: Convert to fraction form
    3,766.74/5,195.02 = 2,651.37/x
  3. Step 3: Cross multiply
    3,766.74x = 5,195.02 × 2,651.37
  4. Step 4: Simplify right side
    3,766.74x = 13,773,920.18
  5. Step 5: Solve for x
    x = 13,773,920.18/3,766.74
  6. Step 6: Final answer
    x = 3,656.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.