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Finding the Fourth Proportional to 3,844.22, 5,294.67 and 3,319.34

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Solution

The fourth proportional to 3,844.22, 5,294.67 and 3,319.34 is: 4,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.22 : 5,294.67 = 3,319.34 : x
  2. Step 2: Convert to fraction form
    3,844.22/5,294.67 = 3,319.34/x
  3. Step 3: Cross multiply
    3,844.22x = 5,294.67 × 3,319.34
  4. Step 4: Simplify right side
    3,844.22x = 17,574,809.92
  5. Step 5: Solve for x
    x = 17,574,809.92/3,844.22
  6. Step 6: Final answer
    x = 4,571.75

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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.