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Finding the Fourth Proportional to 3,412.44, 4,711.88 and 2,294.36

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Solution

The fourth proportional to 3,412.44, 4,711.88 and 2,294.36 is: 3,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.44 : 4,711.88 = 2,294.36 : x
  2. Step 2: Convert to fraction form
    3,412.44/4,711.88 = 2,294.36/x
  3. Step 3: Cross multiply
    3,412.44x = 4,711.88 × 2,294.36
  4. Step 4: Simplify right side
    3,412.44x = 10,810,749.00
  5. Step 5: Solve for x
    x = 10,810,749.00/3,412.44
  6. Step 6: Final answer
    x = 3,168.04

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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.