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Finding the Fourth Proportional to 4,294.88, 6,446.37 and 2,216.35

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Solution

The fourth proportional to 4,294.88, 6,446.37 and 2,216.35 is: 3,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.88 : 6,446.37 = 2,216.35 : x
  2. Step 2: Convert to fraction form
    4,294.88/6,446.37 = 2,216.35/x
  3. Step 3: Cross multiply
    4,294.88x = 6,446.37 × 2,216.35
  4. Step 4: Simplify right side
    4,294.88x = 14,287,412.15
  5. Step 5: Solve for x
    x = 14,287,412.15/4,294.88
  6. Step 6: Final answer
    x = 3,326.61

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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.