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Finding the Fourth Proportional to 4,446.37, 6,665.38 and 2,223.82

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Solution

The fourth proportional to 4,446.37, 6,665.38 and 2,223.82 is: 3,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.37 : 6,665.38 = 2,223.82 : x
  2. Step 2: Convert to fraction form
    4,446.37/6,665.38 = 2,223.82/x
  3. Step 3: Cross multiply
    4,446.37x = 6,665.38 × 2,223.82
  4. Step 4: Simplify right side
    4,446.37x = 14,822,605.35
  5. Step 5: Solve for x
    x = 14,822,605.35/4,446.37
  6. Step 6: Final answer
    x = 3,333.64

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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.