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Finding the Fourth Proportional to 5,742.70, 7,925.22 and 3,224.68

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Solution

The fourth proportional to 5,742.70, 7,925.22 and 3,224.68 is: 4,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.70 : 7,925.22 = 3,224.68 : x
  2. Step 2: Convert to fraction form
    5,742.70/7,925.22 = 3,224.68/x
  3. Step 3: Cross multiply
    5,742.70x = 7,925.22 × 3,224.68
  4. Step 4: Simplify right side
    5,742.70x = 25,556,278.62
  5. Step 5: Solve for x
    x = 25,556,278.62/5,742.70
  6. Step 6: Final answer
    x = 4,450.22

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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.