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Finding the Fourth Proportional to 5,962.14, 8,939.54 and 2,842.02

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Solution

The fourth proportional to 5,962.14, 8,939.54 and 2,842.02 is: 4,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.14 : 8,939.54 = 2,842.02 : x
  2. Step 2: Convert to fraction form
    5,962.14/8,939.54 = 2,842.02/x
  3. Step 3: Cross multiply
    5,962.14x = 8,939.54 × 2,842.02
  4. Step 4: Simplify right side
    5,962.14x = 25,406,351.47
  5. Step 5: Solve for x
    x = 25,406,351.47/5,962.14
  6. Step 6: Final answer
    x = 4,261.28

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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.