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Finding the Fourth Proportional to 3,561.92, 5,342.71 and 2,392.41

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Solution

The fourth proportional to 3,561.92, 5,342.71 and 2,392.41 is: 3,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.92 : 5,342.71 = 2,392.41 : x
  2. Step 2: Convert to fraction form
    3,561.92/5,342.71 = 2,392.41/x
  3. Step 3: Cross multiply
    3,561.92x = 5,342.71 × 2,392.41
  4. Step 4: Simplify right side
    3,561.92x = 12,781,946.85
  5. Step 5: Solve for x
    x = 12,781,946.85/3,561.92
  6. Step 6: Final answer
    x = 3,588.50

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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.