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Finding the Fourth Proportional to 5,842.14, 8,755 and 2,548.38

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Solution

The fourth proportional to 5,842.14, 8,755 and 2,548.38 is: 3,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.14 : 8,755 = 2,548.38 : x
  2. Step 2: Convert to fraction form
    5,842.14/8,755 = 2,548.38/x
  3. Step 3: Cross multiply
    5,842.14x = 8,755 × 2,548.38
  4. Step 4: Simplify right side
    5,842.14x = 22,311,066.90
  5. Step 5: Solve for x
    x = 22,311,066.90/5,842.14
  6. Step 6: Final answer
    x = 3,818.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.