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Finding the Fourth Proportional to 3,288.36, 4,537.72 and 1,891

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Solution

The fourth proportional to 3,288.36, 4,537.72 and 1,891 is: 2,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.36 : 4,537.72 = 1,891 : x
  2. Step 2: Convert to fraction form
    3,288.36/4,537.72 = 1,891/x
  3. Step 3: Cross multiply
    3,288.36x = 4,537.72 × 1,891
  4. Step 4: Simplify right side
    3,288.36x = 8,580,828.52
  5. Step 5: Solve for x
    x = 8,580,828.52/3,288.36
  6. Step 6: Final answer
    x = 2,609.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.