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Finding the Fourth Proportional to 5,785.16, 7,982.64 and 3,394.22

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Solution

The fourth proportional to 5,785.16, 7,982.64 and 3,394.22 is: 4,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.16 : 7,982.64 = 3,394.22 : x
  2. Step 2: Convert to fraction form
    5,785.16/7,982.64 = 3,394.22/x
  3. Step 3: Cross multiply
    5,785.16x = 7,982.64 × 3,394.22
  4. Step 4: Simplify right side
    5,785.16x = 27,094,796.43
  5. Step 5: Solve for x
    x = 27,094,796.43/5,785.16
  6. Step 6: Final answer
    x = 4,683.50

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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.