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Finding the Fourth Proportional to 4,103.69, 5,665.81 and 3,157.81

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Solution

The fourth proportional to 4,103.69, 5,665.81 and 3,157.81 is: 4,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.69 : 5,665.81 = 3,157.81 : x
  2. Step 2: Convert to fraction form
    4,103.69/5,665.81 = 3,157.81/x
  3. Step 3: Cross multiply
    4,103.69x = 5,665.81 × 3,157.81
  4. Step 4: Simplify right side
    4,103.69x = 17,891,551.48
  5. Step 5: Solve for x
    x = 17,891,551.48/4,103.69
  6. Step 6: Final answer
    x = 4,359.87

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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.