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Finding the Fourth Proportional to 5,288.45, 7,932.45 and 2,167.43

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Solution

The fourth proportional to 5,288.45, 7,932.45 and 2,167.43 is: 3,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.45 : 7,932.45 = 2,167.43 : x
  2. Step 2: Convert to fraction form
    5,288.45/7,932.45 = 2,167.43/x
  3. Step 3: Cross multiply
    5,288.45x = 7,932.45 × 2,167.43
  4. Step 4: Simplify right side
    5,288.45x = 17,193,030.10
  5. Step 5: Solve for x
    x = 17,193,030.10/5,288.45
  6. Step 6: Final answer
    x = 3,251.05

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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.