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Finding the Fourth Proportional to 4,211.38, 6,324.14 and 4,043.77

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Solution

The fourth proportional to 4,211.38, 6,324.14 and 4,043.77 is: 6,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.38 : 6,324.14 = 4,043.77 : x
  2. Step 2: Convert to fraction form
    4,211.38/6,324.14 = 4,043.77/x
  3. Step 3: Cross multiply
    4,211.38x = 6,324.14 × 4,043.77
  4. Step 4: Simplify right side
    4,211.38x = 25,573,347.39
  5. Step 5: Solve for x
    x = 25,573,347.39/4,211.38
  6. Step 6: Final answer
    x = 6,072.44

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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.