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Finding the Fourth Proportional to 5,886.43, 8,831.68 and 3,692.54

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Solution

The fourth proportional to 5,886.43, 8,831.68 and 3,692.54 is: 5,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.43 : 8,831.68 = 3,692.54 : x
  2. Step 2: Convert to fraction form
    5,886.43/8,831.68 = 3,692.54/x
  3. Step 3: Cross multiply
    5,886.43x = 8,831.68 × 3,692.54
  4. Step 4: Simplify right side
    5,886.43x = 32,611,344.52
  5. Step 5: Solve for x
    x = 32,611,344.52/5,886.43
  6. Step 6: Final answer
    x = 5,540.09

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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.