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Finding the Fourth Proportional to 4,446.29, 6,665.49 and 2,494.40

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Solution

The fourth proportional to 4,446.29, 6,665.49 and 2,494.40 is: 3,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.29 : 6,665.49 = 2,494.40 : x
  2. Step 2: Convert to fraction form
    4,446.29/6,665.49 = 2,494.40/x
  3. Step 3: Cross multiply
    4,446.29x = 6,665.49 × 2,494.40
  4. Step 4: Simplify right side
    4,446.29x = 16,626,364.93
  5. Step 5: Solve for x
    x = 16,626,364.93/4,446.29
  6. Step 6: Final answer
    x = 3,739.38

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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.