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Finding the Fourth Proportional to 6,175.83, 8,523.50 and 3,787.23

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Solution

The fourth proportional to 6,175.83, 8,523.50 and 3,787.23 is: 5,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.83 : 8,523.50 = 3,787.23 : x
  2. Step 2: Convert to fraction form
    6,175.83/8,523.50 = 3,787.23/x
  3. Step 3: Cross multiply
    6,175.83x = 8,523.50 × 3,787.23
  4. Step 4: Simplify right side
    6,175.83x = 32,280,435.97
  5. Step 5: Solve for x
    x = 32,280,435.97/6,175.83
  6. Step 6: Final answer
    x = 5,226.90

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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.