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Finding the Fourth Proportional to 4,294.28, 6,442.46 and 1,216.28

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Solution

The fourth proportional to 4,294.28, 6,442.46 and 1,216.28 is: 1,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.28 : 6,442.46 = 1,216.28 : x
  2. Step 2: Convert to fraction form
    4,294.28/6,442.46 = 1,216.28/x
  3. Step 3: Cross multiply
    4,294.28x = 6,442.46 × 1,216.28
  4. Step 4: Simplify right side
    4,294.28x = 7,835,835.25
  5. Step 5: Solve for x
    x = 7,835,835.25/4,294.28
  6. Step 6: Final answer
    x = 1,824.71

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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.