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Finding the Fourth Proportional to 5,801.97, 8,022.48 and 5,708.19

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Solution

The fourth proportional to 5,801.97, 8,022.48 and 5,708.19 is: 7,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.97 : 8,022.48 = 5,708.19 : x
  2. Step 2: Convert to fraction form
    5,801.97/8,022.48 = 5,708.19/x
  3. Step 3: Cross multiply
    5,801.97x = 8,022.48 × 5,708.19
  4. Step 4: Simplify right side
    5,801.97x = 45,793,840.11
  5. Step 5: Solve for x
    x = 45,793,840.11/5,801.97
  6. Step 6: Final answer
    x = 7,892.81

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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.