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Finding the Fourth Proportional to 3,751.70, 5,625.61 and 2,194.74

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Solution

The fourth proportional to 3,751.70, 5,625.61 and 2,194.74 is: 3,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.70 : 5,625.61 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    3,751.70/5,625.61 = 2,194.74/x
  3. Step 3: Cross multiply
    3,751.70x = 5,625.61 × 2,194.74
  4. Step 4: Simplify right side
    3,751.70x = 12,346,758.15
  5. Step 5: Solve for x
    x = 12,346,758.15/3,751.70
  6. Step 6: Final answer
    x = 3,290.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.