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Finding the Fourth Proportional to 5,292.45, 7,939.82 and 1,594.39

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Solution

The fourth proportional to 5,292.45, 7,939.82 and 1,594.39 is: 2,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.45 : 7,939.82 = 1,594.39 : x
  2. Step 2: Convert to fraction form
    5,292.45/7,939.82 = 1,594.39/x
  3. Step 3: Cross multiply
    5,292.45x = 7,939.82 × 1,594.39
  4. Step 4: Simplify right side
    5,292.45x = 12,659,169.61
  5. Step 5: Solve for x
    x = 12,659,169.61/5,292.45
  6. Step 6: Final answer
    x = 2,391.93

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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.