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Finding the Fourth Proportional to 3,288.47, 4,537.89 and 1,962.16

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Solution

The fourth proportional to 3,288.47, 4,537.89 and 1,962.16 is: 2,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.47 : 4,537.89 = 1,962.16 : x
  2. Step 2: Convert to fraction form
    3,288.47/4,537.89 = 1,962.16/x
  3. Step 3: Cross multiply
    3,288.47x = 4,537.89 × 1,962.16
  4. Step 4: Simplify right side
    3,288.47x = 8,904,054.90
  5. Step 5: Solve for x
    x = 8,904,054.90/3,288.47
  6. Step 6: Final answer
    x = 2,707.66

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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.