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Finding the Fourth Proportional to 5,089.87, 7,633.17 and 2,128.31

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Solution

The fourth proportional to 5,089.87, 7,633.17 and 2,128.31 is: 3,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.87 : 7,633.17 = 2,128.31 : x
  2. Step 2: Convert to fraction form
    5,089.87/7,633.17 = 2,128.31/x
  3. Step 3: Cross multiply
    5,089.87x = 7,633.17 × 2,128.31
  4. Step 4: Simplify right side
    5,089.87x = 16,245,742.50
  5. Step 5: Solve for x
    x = 16,245,742.50/5,089.87
  6. Step 6: Final answer
    x = 3,191.78

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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.