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Finding the Fourth Proportional to 4,600.35, 6,896.65 and 2,001.33

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Solution

The fourth proportional to 4,600.35, 6,896.65 and 2,001.33 is: 3,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.35 : 6,896.65 = 2,001.33 : x
  2. Step 2: Convert to fraction form
    4,600.35/6,896.65 = 2,001.33/x
  3. Step 3: Cross multiply
    4,600.35x = 6,896.65 × 2,001.33
  4. Step 4: Simplify right side
    4,600.35x = 13,802,472.54
  5. Step 5: Solve for x
    x = 13,802,472.54/4,600.35
  6. Step 6: Final answer
    x = 3,000.31

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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.