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Finding the Fourth Proportional to 5,266.62, 7,899.89 and 2,145.89

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Solution

The fourth proportional to 5,266.62, 7,899.89 and 2,145.89 is: 3,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.62 : 7,899.89 = 2,145.89 : x
  2. Step 2: Convert to fraction form
    5,266.62/7,899.89 = 2,145.89/x
  3. Step 3: Cross multiply
    5,266.62x = 7,899.89 × 2,145.89
  4. Step 4: Simplify right side
    5,266.62x = 16,952,303.97
  5. Step 5: Solve for x
    x = 16,952,303.97/5,266.62
  6. Step 6: Final answer
    x = 3,218.82

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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.