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Finding the Fourth Proportional to 3,757.80, 5,635.80 and 2,113.50

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Solution

The fourth proportional to 3,757.80, 5,635.80 and 2,113.50 is: 3,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.80 : 5,635.80 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    3,757.80/5,635.80 = 2,113.50/x
  3. Step 3: Cross multiply
    3,757.80x = 5,635.80 × 2,113.50
  4. Step 4: Simplify right side
    3,757.80x = 11,911,263.30
  5. Step 5: Solve for x
    x = 11,911,263.30/3,757.80
  6. Step 6: Final answer
    x = 3,169.74

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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.