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Finding the Fourth Proportional to 5,292.98, 7,940.61 and 1,594.92

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Solution

The fourth proportional to 5,292.98, 7,940.61 and 1,594.92 is: 2,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.98 : 7,940.61 = 1,594.92 : x
  2. Step 2: Convert to fraction form
    5,292.98/7,940.61 = 1,594.92/x
  3. Step 3: Cross multiply
    5,292.98x = 7,940.61 × 1,594.92
  4. Step 4: Simplify right side
    5,292.98x = 12,664,637.70
  5. Step 5: Solve for x
    x = 12,664,637.70/5,292.98
  6. Step 6: Final answer
    x = 2,392.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.