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Finding the Fourth Proportional to 5,820.39, 8,032.12 and 3,167.74

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Solution

The fourth proportional to 5,820.39, 8,032.12 and 3,167.74 is: 4,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.39 : 8,032.12 = 3,167.74 : x
  2. Step 2: Convert to fraction form
    5,820.39/8,032.12 = 3,167.74/x
  3. Step 3: Cross multiply
    5,820.39x = 8,032.12 × 3,167.74
  4. Step 4: Simplify right side
    5,820.39x = 25,443,667.81
  5. Step 5: Solve for x
    x = 25,443,667.81/5,820.39
  6. Step 6: Final answer
    x = 4,371.47

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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.