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Finding the Fourth Proportional to 5,326.93, 7,984.99 and 2,549.53

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Solution

The fourth proportional to 5,326.93, 7,984.99 and 2,549.53 is: 3,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.93 : 7,984.99 = 2,549.53 : x
  2. Step 2: Convert to fraction form
    5,326.93/7,984.99 = 2,549.53/x
  3. Step 3: Cross multiply
    5,326.93x = 7,984.99 × 2,549.53
  4. Step 4: Simplify right side
    5,326.93x = 20,357,971.55
  5. Step 5: Solve for x
    x = 20,357,971.55/5,326.93
  6. Step 6: Final answer
    x = 3,821.71

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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.