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Finding the Fourth Proportional to 5,267.70, 7,904.13 and 2,149.98

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Solution

The fourth proportional to 5,267.70, 7,904.13 and 2,149.98 is: 3,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.70 : 7,904.13 = 2,149.98 : x
  2. Step 2: Convert to fraction form
    5,267.70/7,904.13 = 2,149.98/x
  3. Step 3: Cross multiply
    5,267.70x = 7,904.13 × 2,149.98
  4. Step 4: Simplify right side
    5,267.70x = 16,993,721.42
  5. Step 5: Solve for x
    x = 16,993,721.42/5,267.70
  6. Step 6: Final answer
    x = 3,226.02

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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.