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Finding the Fourth Proportional to 3,287.76, 4,537.14 and 1,962.06

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Solution

The fourth proportional to 3,287.76, 4,537.14 and 1,962.06 is: 2,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.76 : 4,537.14 = 1,962.06 : x
  2. Step 2: Convert to fraction form
    3,287.76/4,537.14 = 1,962.06/x
  3. Step 3: Cross multiply
    3,287.76x = 4,537.14 × 1,962.06
  4. Step 4: Simplify right side
    3,287.76x = 8,902,140.91
  5. Step 5: Solve for x
    x = 8,902,140.91/3,287.76
  6. Step 6: Final answer
    x = 2,707.66

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Why These Related Problems?

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