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Finding the Fourth Proportional to 3,496.77, 5,238.22 and 2,265.04

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Solution

The fourth proportional to 3,496.77, 5,238.22 and 2,265.04 is: 3,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.77 : 5,238.22 = 2,265.04 : x
  2. Step 2: Convert to fraction form
    3,496.77/5,238.22 = 2,265.04/x
  3. Step 3: Cross multiply
    3,496.77x = 5,238.22 × 2,265.04
  4. Step 4: Simplify right side
    3,496.77x = 11,864,751.64
  5. Step 5: Solve for x
    x = 11,864,751.64/3,496.77
  6. Step 6: Final answer
    x = 3,393.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.