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Finding the Fourth Proportional to 3,234.64, 4,463.04 and 2,239.60

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Solution

The fourth proportional to 3,234.64, 4,463.04 and 2,239.60 is: 3,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.64 : 4,463.04 = 2,239.60 : x
  2. Step 2: Convert to fraction form
    3,234.64/4,463.04 = 2,239.60/x
  3. Step 3: Cross multiply
    3,234.64x = 4,463.04 × 2,239.60
  4. Step 4: Simplify right side
    3,234.64x = 9,995,424.38
  5. Step 5: Solve for x
    x = 9,995,424.38/3,234.64
  6. Step 6: Final answer
    x = 3,090.12

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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.