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Finding the Fourth Proportional to 5,742.70, 7,924.27 and 3,224.47

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Solution

The fourth proportional to 5,742.70, 7,924.27 and 3,224.47 is: 4,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.70 : 7,924.27 = 3,224.47 : x
  2. Step 2: Convert to fraction form
    5,742.70/7,924.27 = 3,224.47/x
  3. Step 3: Cross multiply
    5,742.70x = 7,924.27 × 3,224.47
  4. Step 4: Simplify right side
    5,742.70x = 25,551,570.89
  5. Step 5: Solve for x
    x = 25,551,570.89/5,742.70
  6. Step 6: Final answer
    x = 4,449.40

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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.