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Finding the Fourth Proportional to 5,740.62, 7,921.76 and 3,188.22

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Solution

The fourth proportional to 5,740.62, 7,921.76 and 3,188.22 is: 4,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.62 : 7,921.76 = 3,188.22 : x
  2. Step 2: Convert to fraction form
    5,740.62/7,921.76 = 3,188.22/x
  3. Step 3: Cross multiply
    5,740.62x = 7,921.76 × 3,188.22
  4. Step 4: Simplify right side
    5,740.62x = 25,256,313.67
  5. Step 5: Solve for x
    x = 25,256,313.67/5,740.62
  6. Step 6: Final answer
    x = 4,399.58

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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.