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Finding the Fourth Proportional to 5,820.26, 8,032.16 and 3,167.71

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Solution

The fourth proportional to 5,820.26, 8,032.16 and 3,167.71 is: 4,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.26 : 8,032.16 = 3,167.71 : x
  2. Step 2: Convert to fraction form
    5,820.26/8,032.16 = 3,167.71/x
  3. Step 3: Cross multiply
    5,820.26x = 8,032.16 × 3,167.71
  4. Step 4: Simplify right side
    5,820.26x = 25,443,541.39
  5. Step 5: Solve for x
    x = 25,443,541.39/5,820.26
  6. Step 6: Final answer
    x = 4,371.55

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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.