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Finding the Fourth Proportional to 5,147.32, 7,102.93 and 3,022.94

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Solution

The fourth proportional to 5,147.32, 7,102.93 and 3,022.94 is: 4,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.32 : 7,102.93 = 3,022.94 : x
  2. Step 2: Convert to fraction form
    5,147.32/7,102.93 = 3,022.94/x
  3. Step 3: Cross multiply
    5,147.32x = 7,102.93 × 3,022.94
  4. Step 4: Simplify right side
    5,147.32x = 21,471,731.21
  5. Step 5: Solve for x
    x = 21,471,731.21/5,147.32
  6. Step 6: Final answer
    x = 4,171.44

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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.