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Finding the Fourth Proportional to 5,983.67, 8,256.22 and 3,465.63

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Solution

The fourth proportional to 5,983.67, 8,256.22 and 3,465.63 is: 4,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.67 : 8,256.22 = 3,465.63 : x
  2. Step 2: Convert to fraction form
    5,983.67/8,256.22 = 3,465.63/x
  3. Step 3: Cross multiply
    5,983.67x = 8,256.22 × 3,465.63
  4. Step 4: Simplify right side
    5,983.67x = 28,612,991.55
  5. Step 5: Solve for x
    x = 28,612,991.55/5,983.67
  6. Step 6: Final answer
    x = 4,781.85

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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.