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Finding the Fourth Proportional to 3,818.57, 5,260.52 and 3,141.97

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Solution

The fourth proportional to 3,818.57, 5,260.52 and 3,141.97 is: 4,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.57 : 5,260.52 = 3,141.97 : x
  2. Step 2: Convert to fraction form
    3,818.57/5,260.52 = 3,141.97/x
  3. Step 3: Cross multiply
    3,818.57x = 5,260.52 × 3,141.97
  4. Step 4: Simplify right side
    3,818.57x = 16,528,354.01
  5. Step 5: Solve for x
    x = 16,528,354.01/3,818.57
  6. Step 6: Final answer
    x = 4,328.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.