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Finding the Fourth Proportional to 5,743.34, 7,924.47 and 4,168.70

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Solution

The fourth proportional to 5,743.34, 7,924.47 and 4,168.70 is: 5,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.34 : 7,924.47 = 4,168.70 : x
  2. Step 2: Convert to fraction form
    5,743.34/7,924.47 = 4,168.70/x
  3. Step 3: Cross multiply
    5,743.34x = 7,924.47 × 4,168.70
  4. Step 4: Simplify right side
    5,743.34x = 33,034,738.09
  5. Step 5: Solve for x
    x = 33,034,738.09/5,743.34
  6. Step 6: Final answer
    x = 5,751.83

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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.