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Finding the Fourth Proportional to 4,446.63, 6,672.37 and 2,138.13

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Solution

The fourth proportional to 4,446.63, 6,672.37 and 2,138.13 is: 3,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.63 : 6,672.37 = 2,138.13 : x
  2. Step 2: Convert to fraction form
    4,446.63/6,672.37 = 2,138.13/x
  3. Step 3: Cross multiply
    4,446.63x = 6,672.37 × 2,138.13
  4. Step 4: Simplify right side
    4,446.63x = 14,266,394.47
  5. Step 5: Solve for x
    x = 14,266,394.47/4,446.63
  6. Step 6: Final answer
    x = 3,208.36

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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.