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Finding the Fourth Proportional to 3,215.88, 4,824.35 and 1,107.42

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Solution

The fourth proportional to 3,215.88, 4,824.35 and 1,107.42 is: 1,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.88 : 4,824.35 = 1,107.42 : x
  2. Step 2: Convert to fraction form
    3,215.88/4,824.35 = 1,107.42/x
  3. Step 3: Cross multiply
    3,215.88x = 4,824.35 × 1,107.42
  4. Step 4: Simplify right side
    3,215.88x = 5,342,581.68
  5. Step 5: Solve for x
    x = 5,342,581.68/3,215.88
  6. Step 6: Final answer
    x = 1,661.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.