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Finding the Fourth Proportional to 5,724.29, 7,899.39 and 3,366.59

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Solution

The fourth proportional to 5,724.29, 7,899.39 and 3,366.59 is: 4,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.29 : 7,899.39 = 3,366.59 : x
  2. Step 2: Convert to fraction form
    5,724.29/7,899.39 = 3,366.59/x
  3. Step 3: Cross multiply
    5,724.29x = 7,899.39 × 3,366.59
  4. Step 4: Simplify right side
    5,724.29x = 26,593,967.88
  5. Step 5: Solve for x
    x = 26,593,967.88/5,724.29
  6. Step 6: Final answer
    x = 4,645.81

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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.