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Finding the Fourth Proportional to 5,524.54, 8,287.05 and 3,326.50

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Solution

The fourth proportional to 5,524.54, 8,287.05 and 3,326.50 is: 4,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.54 : 8,287.05 = 3,326.50 : x
  2. Step 2: Convert to fraction form
    5,524.54/8,287.05 = 3,326.50/x
  3. Step 3: Cross multiply
    5,524.54x = 8,287.05 × 3,326.50
  4. Step 4: Simplify right side
    5,524.54x = 27,566,871.83
  5. Step 5: Solve for x
    x = 27,566,871.83/5,524.54
  6. Step 6: Final answer
    x = 4,989.89

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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.