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Finding the Fourth Proportional to 5,827.52, 8,722.92 and 3,626.48

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Solution

The fourth proportional to 5,827.52, 8,722.92 and 3,626.48 is: 5,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.52 : 8,722.92 = 3,626.48 : x
  2. Step 2: Convert to fraction form
    5,827.52/8,722.92 = 3,626.48/x
  3. Step 3: Cross multiply
    5,827.52x = 8,722.92 × 3,626.48
  4. Step 4: Simplify right side
    5,827.52x = 31,633,494.92
  5. Step 5: Solve for x
    x = 31,633,494.92/5,827.52
  6. Step 6: Final answer
    x = 5,428.29

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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.