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Finding the Fourth Proportional to 5,262.50, 7,886.90 and 2,138.83

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Solution

The fourth proportional to 5,262.50, 7,886.90 and 2,138.83 is: 3,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.50 : 7,886.90 = 2,138.83 : x
  2. Step 2: Convert to fraction form
    5,262.50/7,886.90 = 2,138.83/x
  3. Step 3: Cross multiply
    5,262.50x = 7,886.90 × 2,138.83
  4. Step 4: Simplify right side
    5,262.50x = 16,868,723.96
  5. Step 5: Solve for x
    x = 16,868,723.96/5,262.50
  6. Step 6: Final answer
    x = 3,205.46

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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.