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Finding the Fourth Proportional to 3,496.29, 4,824.25 and 2,832

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Solution

The fourth proportional to 3,496.29, 4,824.25 and 2,832 is: 3,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.29 : 4,824.25 = 2,832 : x
  2. Step 2: Convert to fraction form
    3,496.29/4,824.25 = 2,832/x
  3. Step 3: Cross multiply
    3,496.29x = 4,824.25 × 2,832
  4. Step 4: Simplify right side
    3,496.29x = 13,662,276
  5. Step 5: Solve for x
    x = 13,662,276/3,496.29
  6. Step 6: Final answer
    x = 3,907.65

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