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Finding the Fourth Proportional to 3,102.38, 4,285.64 and 2,822.12

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Solution

The fourth proportional to 3,102.38, 4,285.64 and 2,822.12 is: 3,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.38 : 4,285.64 = 2,822.12 : x
  2. Step 2: Convert to fraction form
    3,102.38/4,285.64 = 2,822.12/x
  3. Step 3: Cross multiply
    3,102.38x = 4,285.64 × 2,822.12
  4. Step 4: Simplify right side
    3,102.38x = 12,094,597.41
  5. Step 5: Solve for x
    x = 12,094,597.41/3,102.38
  6. Step 6: Final answer
    x = 3,898.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.