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Finding the Fourth Proportional to 5,147.64, 7,103.76 and 3,022.77

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Solution

The fourth proportional to 5,147.64, 7,103.76 and 3,022.77 is: 4,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.64 : 7,103.76 = 3,022.77 : x
  2. Step 2: Convert to fraction form
    5,147.64/7,103.76 = 3,022.77/x
  3. Step 3: Cross multiply
    5,147.64x = 7,103.76 × 3,022.77
  4. Step 4: Simplify right side
    5,147.64x = 21,473,032.62
  5. Step 5: Solve for x
    x = 21,473,032.62/5,147.64
  6. Step 6: Final answer
    x = 4,171.43

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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.