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Finding the Fourth Proportional to 5,343.62, 7,373.85 and 3,105.86

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Solution

The fourth proportional to 5,343.62, 7,373.85 and 3,105.86 is: 4,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.62 : 7,373.85 = 3,105.86 : x
  2. Step 2: Convert to fraction form
    5,343.62/7,373.85 = 3,105.86/x
  3. Step 3: Cross multiply
    5,343.62x = 7,373.85 × 3,105.86
  4. Step 4: Simplify right side
    5,343.62x = 22,902,145.76
  5. Step 5: Solve for x
    x = 22,902,145.76/5,343.62
  6. Step 6: Final answer
    x = 4,285.89

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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.