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Finding the Fourth Proportional to 5,469.74, 7,548.42 and 3,112.04

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Solution

The fourth proportional to 5,469.74, 7,548.42 and 3,112.04 is: 4,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.74 : 7,548.42 = 3,112.04 : x
  2. Step 2: Convert to fraction form
    5,469.74/7,548.42 = 3,112.04/x
  3. Step 3: Cross multiply
    5,469.74x = 7,548.42 × 3,112.04
  4. Step 4: Simplify right side
    5,469.74x = 23,490,984.98
  5. Step 5: Solve for x
    x = 23,490,984.98/5,469.74
  6. Step 6: Final answer
    x = 4,294.72

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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.