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Finding the Fourth Proportional to 3,223.69, 4,451.21 and 2,476.47

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Solution

The fourth proportional to 3,223.69, 4,451.21 and 2,476.47 is: 3,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.69 : 4,451.21 = 2,476.47 : x
  2. Step 2: Convert to fraction form
    3,223.69/4,451.21 = 2,476.47/x
  3. Step 3: Cross multiply
    3,223.69x = 4,451.21 × 2,476.47
  4. Step 4: Simplify right side
    3,223.69x = 11,023,288.03
  5. Step 5: Solve for x
    x = 11,023,288.03/3,223.69
  6. Step 6: Final answer
    x = 3,419.46

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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.