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Finding the Fourth Proportional to 5,926.64, 8,890.38 and 2,031

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Solution

The fourth proportional to 5,926.64, 8,890.38 and 2,031 is: 3,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.64 : 8,890.38 = 2,031 : x
  2. Step 2: Convert to fraction form
    5,926.64/8,890.38 = 2,031/x
  3. Step 3: Cross multiply
    5,926.64x = 8,890.38 × 2,031
  4. Step 4: Simplify right side
    5,926.64x = 18,056,361.78
  5. Step 5: Solve for x
    x = 18,056,361.78/5,926.64
  6. Step 6: Final answer
    x = 3,046.65

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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.