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Finding the Fourth Proportional to 4,434.64, 6,122.42 and 3,942.60

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Solution

The fourth proportional to 4,434.64, 6,122.42 and 3,942.60 is: 5,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.64 : 6,122.42 = 3,942.60 : x
  2. Step 2: Convert to fraction form
    4,434.64/6,122.42 = 3,942.60/x
  3. Step 3: Cross multiply
    4,434.64x = 6,122.42 × 3,942.60
  4. Step 4: Simplify right side
    4,434.64x = 24,138,253.09
  5. Step 5: Solve for x
    x = 24,138,253.09/4,434.64
  6. Step 6: Final answer
    x = 5,443.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.