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Finding the Fourth Proportional to 5,340.96, 7,370.52 and 2,983.14

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Solution

The fourth proportional to 5,340.96, 7,370.52 and 2,983.14 is: 4,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.96 : 7,370.52 = 2,983.14 : x
  2. Step 2: Convert to fraction form
    5,340.96/7,370.52 = 2,983.14/x
  3. Step 3: Cross multiply
    5,340.96x = 7,370.52 × 2,983.14
  4. Step 4: Simplify right side
    5,340.96x = 21,987,293.03
  5. Step 5: Solve for x
    x = 21,987,293.03/5,340.96
  6. Step 6: Final answer
    x = 4,116.73

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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.