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Finding the Fourth Proportional to 4,216.83, 6,324.70 and 1,294.89

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Solution

The fourth proportional to 4,216.83, 6,324.70 and 1,294.89 is: 1,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.83 : 6,324.70 = 1,294.89 : x
  2. Step 2: Convert to fraction form
    4,216.83/6,324.70 = 1,294.89/x
  3. Step 3: Cross multiply
    4,216.83x = 6,324.70 × 1,294.89
  4. Step 4: Simplify right side
    4,216.83x = 8,189,766.26
  5. Step 5: Solve for x
    x = 8,189,766.26/4,216.83
  6. Step 6: Final answer
    x = 1,942.16

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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.