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Finding the Fourth Proportional to 4,216.46, 6,324.68 and 1,294.72

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Solution

The fourth proportional to 4,216.46, 6,324.68 and 1,294.72 is: 1,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.46 : 6,324.68 = 1,294.72 : x
  2. Step 2: Convert to fraction form
    4,216.46/6,324.68 = 1,294.72/x
  3. Step 3: Cross multiply
    4,216.46x = 6,324.68 × 1,294.72
  4. Step 4: Simplify right side
    4,216.46x = 8,188,677.11
  5. Step 5: Solve for x
    x = 8,188,677.11/4,216.46
  6. Step 6: Final answer
    x = 1,942.08

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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.