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Finding the Fourth Proportional to 5,288, 7,930.40 and 1,589.92

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Solution

The fourth proportional to 5,288, 7,930.40 and 1,589.92 is: 2,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 7,930.40 = 1,589.92 : x
  2. Step 2: Convert to fraction form
    5,288/7,930.40 = 1,589.92/x
  3. Step 3: Cross multiply
    5,288x = 7,930.40 × 1,589.92
  4. Step 4: Simplify right side
    5,288x = 12,608,701.57
  5. Step 5: Solve for x
    x = 12,608,701.57/5,288
  6. Step 6: Final answer
    x = 2,384.40

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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.