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Finding the Fourth Proportional to 3,496.64, 4,824.82 and 2,238.81

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Solution

The fourth proportional to 3,496.64, 4,824.82 and 2,238.81 is: 3,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.64 : 4,824.82 = 2,238.81 : x
  2. Step 2: Convert to fraction form
    3,496.64/4,824.82 = 2,238.81/x
  3. Step 3: Cross multiply
    3,496.64x = 4,824.82 × 2,238.81
  4. Step 4: Simplify right side
    3,496.64x = 10,801,827.38
  5. Step 5: Solve for x
    x = 10,801,827.38/3,496.64
  6. Step 6: Final answer
    x = 3,089.21

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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.