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Finding the Fourth Proportional to 5,292.73, 7,940.42 and 1,594.88

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Solution

The fourth proportional to 5,292.73, 7,940.42 and 1,594.88 is: 2,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.73 : 7,940.42 = 1,594.88 : x
  2. Step 2: Convert to fraction form
    5,292.73/7,940.42 = 1,594.88/x
  3. Step 3: Cross multiply
    5,292.73x = 7,940.42 × 1,594.88
  4. Step 4: Simplify right side
    5,292.73x = 12,664,017.05
  5. Step 5: Solve for x
    x = 12,664,017.05/5,292.73
  6. Step 6: Final answer
    x = 2,392.72

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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.