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Finding the Fourth Proportional to 5,168.58, 7,748.49 and 2,050.80

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Solution

The fourth proportional to 5,168.58, 7,748.49 and 2,050.80 is: 3,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.58 : 7,748.49 = 2,050.80 : x
  2. Step 2: Convert to fraction form
    5,168.58/7,748.49 = 2,050.80/x
  3. Step 3: Cross multiply
    5,168.58x = 7,748.49 × 2,050.80
  4. Step 4: Simplify right side
    5,168.58x = 15,890,603.29
  5. Step 5: Solve for x
    x = 15,890,603.29/5,168.58
  6. Step 6: Final answer
    x = 3,074.46

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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.