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Finding the Fourth Proportional to 6,229.20, 8,588.08 and 5,032.84

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Solution

The fourth proportional to 6,229.20, 8,588.08 and 5,032.84 is: 6,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.20 : 8,588.08 = 5,032.84 : x
  2. Step 2: Convert to fraction form
    6,229.20/8,588.08 = 5,032.84/x
  3. Step 3: Cross multiply
    6,229.20x = 8,588.08 × 5,032.84
  4. Step 4: Simplify right side
    6,229.20x = 43,222,432.55
  5. Step 5: Solve for x
    x = 43,222,432.55/6,229.20
  6. Step 6: Final answer
    x = 6,938.68

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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.