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Finding the Fourth Proportional to 4,224.69, 5,825.52 and 2,965.32

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Solution

The fourth proportional to 4,224.69, 5,825.52 and 2,965.32 is: 4,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.69 : 5,825.52 = 2,965.32 : x
  2. Step 2: Convert to fraction form
    4,224.69/5,825.52 = 2,965.32/x
  3. Step 3: Cross multiply
    4,224.69x = 5,825.52 × 2,965.32
  4. Step 4: Simplify right side
    4,224.69x = 17,274,530.97
  5. Step 5: Solve for x
    x = 17,274,530.97/4,224.69
  6. Step 6: Final answer
    x = 4,088.95

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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.