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Finding the Fourth Proportional to 5,693.12, 7,847.52 and 4,293.44

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Solution

The fourth proportional to 5,693.12, 7,847.52 and 4,293.44 is: 5,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.12 : 7,847.52 = 4,293.44 : x
  2. Step 2: Convert to fraction form
    5,693.12/7,847.52 = 4,293.44/x
  3. Step 3: Cross multiply
    5,693.12x = 7,847.52 × 4,293.44
  4. Step 4: Simplify right side
    5,693.12x = 33,692,856.27
  5. Step 5: Solve for x
    x = 33,692,856.27/5,693.12
  6. Step 6: Final answer
    x = 5,918.17

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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.