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Finding the Fourth Proportional to 6,232.41, 8,598.96 and 3,579.66

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Solution

The fourth proportional to 6,232.41, 8,598.96 and 3,579.66 is: 4,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.41 : 8,598.96 = 3,579.66 : x
  2. Step 2: Convert to fraction form
    6,232.41/8,598.96 = 3,579.66/x
  3. Step 3: Cross multiply
    6,232.41x = 8,598.96 × 3,579.66
  4. Step 4: Simplify right side
    6,232.41x = 30,781,353.15
  5. Step 5: Solve for x
    x = 30,781,353.15/6,232.41
  6. Step 6: Final answer
    x = 4,938.92

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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.