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Finding the Fourth Proportional to 5,288.76, 7,932.02 and 1,589.90

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Solution

The fourth proportional to 5,288.76, 7,932.02 and 1,589.90 is: 2,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.76 : 7,932.02 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    5,288.76/7,932.02 = 1,589.90/x
  3. Step 3: Cross multiply
    5,288.76x = 7,932.02 × 1,589.90
  4. Step 4: Simplify right side
    5,288.76x = 12,611,078.94
  5. Step 5: Solve for x
    x = 12,611,078.94/5,288.76
  6. Step 6: Final answer
    x = 2,384.51

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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.