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Finding the Fourth Proportional to 8,549.52, 12,822.48 and 3,282.84

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Solution

The fourth proportional to 8,549.52, 12,822.48 and 3,282.84 is: 4,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.52 : 12,822.48 = 3,282.84 : x
  2. Step 2: Convert to fraction form
    8,549.52/12,822.48 = 3,282.84/x
  3. Step 3: Cross multiply
    8,549.52x = 12,822.48 × 3,282.84
  4. Step 4: Simplify right side
    8,549.52x = 42,094,150.24
  5. Step 5: Solve for x
    x = 42,094,150.24/8,549.52
  6. Step 6: Final answer
    x = 4,923.57

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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.