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Finding the Fourth Proportional to 5,071.28, 6,998.42 and 2,975.44

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Solution

The fourth proportional to 5,071.28, 6,998.42 and 2,975.44 is: 4,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.28 : 6,998.42 = 2,975.44 : x
  2. Step 2: Convert to fraction form
    5,071.28/6,998.42 = 2,975.44/x
  3. Step 3: Cross multiply
    5,071.28x = 6,998.42 × 2,975.44
  4. Step 4: Simplify right side
    5,071.28x = 20,823,378.80
  5. Step 5: Solve for x
    x = 20,823,378.80/5,071.28
  6. Step 6: Final answer
    x = 4,106.14

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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.