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Finding the Fourth Proportional to 4,294.36, 6,441.60 and 1,216.36

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Solution

The fourth proportional to 4,294.36, 6,441.60 and 1,216.36 is: 1,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.36 : 6,441.60 = 1,216.36 : x
  2. Step 2: Convert to fraction form
    4,294.36/6,441.60 = 1,216.36/x
  3. Step 3: Cross multiply
    4,294.36x = 6,441.60 × 1,216.36
  4. Step 4: Simplify right side
    4,294.36x = 7,835,304.58
  5. Step 5: Solve for x
    x = 7,835,304.58/4,294.36
  6. Step 6: Final answer
    x = 1,824.56

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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.