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Finding the Fourth Proportional to 5,071.80, 6,998.91 and 2,947.50

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Solution

The fourth proportional to 5,071.80, 6,998.91 and 2,947.50 is: 4,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.80 : 6,998.91 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    5,071.80/6,998.91 = 2,947.50/x
  3. Step 3: Cross multiply
    5,071.80x = 6,998.91 × 2,947.50
  4. Step 4: Simplify right side
    5,071.80x = 20,629,287.23
  5. Step 5: Solve for x
    x = 20,629,287.23/5,071.80
  6. Step 6: Final answer
    x = 4,067.45

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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.