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Finding the Fourth Proportional to 5,683.21, 7,843.07 and 3,165.32

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Solution

The fourth proportional to 5,683.21, 7,843.07 and 3,165.32 is: 4,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.21 : 7,843.07 = 3,165.32 : x
  2. Step 2: Convert to fraction form
    5,683.21/7,843.07 = 3,165.32/x
  3. Step 3: Cross multiply
    5,683.21x = 7,843.07 × 3,165.32
  4. Step 4: Simplify right side
    5,683.21x = 24,825,834.25
  5. Step 5: Solve for x
    x = 24,825,834.25/5,683.21
  6. Step 6: Final answer
    x = 4,368.28

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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.