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Finding the Fourth Proportional to 5,326.56, 7,984.43 and 2,549.16

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Solution

The fourth proportional to 5,326.56, 7,984.43 and 2,549.16 is: 3,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.56 : 7,984.43 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    5,326.56/7,984.43 = 2,549.16/x
  3. Step 3: Cross multiply
    5,326.56x = 7,984.43 × 2,549.16
  4. Step 4: Simplify right side
    5,326.56x = 20,353,589.58
  5. Step 5: Solve for x
    x = 20,353,589.58/5,326.56
  6. Step 6: Final answer
    x = 3,821.15

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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.