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Finding the Fourth Proportional to 5,820.81, 8,032.77 and 3,168.21

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Solution

The fourth proportional to 5,820.81, 8,032.77 and 3,168.21 is: 4,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.81 : 8,032.77 = 3,168.21 : x
  2. Step 2: Convert to fraction form
    5,820.81/8,032.77 = 3,168.21/x
  3. Step 3: Cross multiply
    5,820.81x = 8,032.77 × 3,168.21
  4. Step 4: Simplify right side
    5,820.81x = 25,449,532.36
  5. Step 5: Solve for x
    x = 25,449,532.36/5,820.81
  6. Step 6: Final answer
    x = 4,372.16

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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.