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Finding the Fourth Proportional to 3,480.81, 4,799.49 and 2,362.47

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Solution

The fourth proportional to 3,480.81, 4,799.49 and 2,362.47 is: 3,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.81 : 4,799.49 = 2,362.47 : x
  2. Step 2: Convert to fraction form
    3,480.81/4,799.49 = 2,362.47/x
  3. Step 3: Cross multiply
    3,480.81x = 4,799.49 × 2,362.47
  4. Step 4: Simplify right side
    3,480.81x = 11,338,624.28
  5. Step 5: Solve for x
    x = 11,338,624.28/3,480.81
  6. Step 6: Final answer
    x = 3,257.47

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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.