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Finding the Fourth Proportional to 4,081.96, 6,123.96 and 2,232.60

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Solution

The fourth proportional to 4,081.96, 6,123.96 and 2,232.60 is: 3,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.96 : 6,123.96 = 2,232.60 : x
  2. Step 2: Convert to fraction form
    4,081.96/6,123.96 = 2,232.60/x
  3. Step 3: Cross multiply
    4,081.96x = 6,123.96 × 2,232.60
  4. Step 4: Simplify right side
    4,081.96x = 13,672,353.10
  5. Step 5: Solve for x
    x = 13,672,353.10/4,081.96
  6. Step 6: Final answer
    x = 3,349.46

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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.