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Finding the Fourth Proportional to 3,288.87, 4,537.89 and 1,962.31

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Solution

The fourth proportional to 3,288.87, 4,537.89 and 1,962.31 is: 2,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.87 : 4,537.89 = 1,962.31 : x
  2. Step 2: Convert to fraction form
    3,288.87/4,537.89 = 1,962.31/x
  3. Step 3: Cross multiply
    3,288.87x = 4,537.89 × 1,962.31
  4. Step 4: Simplify right side
    3,288.87x = 8,904,746.93
  5. Step 5: Solve for x
    x = 8,904,746.93/3,288.87
  6. Step 6: Final answer
    x = 2,707.54

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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.