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Finding the Fourth Proportional to 5,781.96, 7,975.80 and 5,393.16

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Solution

The fourth proportional to 5,781.96, 7,975.80 and 5,393.16 is: 7,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.96 : 7,975.80 = 5,393.16 : x
  2. Step 2: Convert to fraction form
    5,781.96/7,975.80 = 5,393.16/x
  3. Step 3: Cross multiply
    5,781.96x = 7,975.80 × 5,393.16
  4. Step 4: Simplify right side
    5,781.96x = 43,014,765.53
  5. Step 5: Solve for x
    x = 43,014,765.53/5,781.96
  6. Step 6: Final answer
    x = 7,439.48

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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.