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Finding the Fourth Proportional to 5,872.32, 8,103.87 and 3,354.77

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Solution

The fourth proportional to 5,872.32, 8,103.87 and 3,354.77 is: 4,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.32 : 8,103.87 = 3,354.77 : x
  2. Step 2: Convert to fraction form
    5,872.32/8,103.87 = 3,354.77/x
  3. Step 3: Cross multiply
    5,872.32x = 8,103.87 × 3,354.77
  4. Step 4: Simplify right side
    5,872.32x = 27,186,640.22
  5. Step 5: Solve for x
    x = 27,186,640.22/5,872.32
  6. Step 6: Final answer
    x = 4,629.63

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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.