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Finding the Fourth Proportional to 4,832.49, 6,654.01 and 4,231.55

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Solution

The fourth proportional to 4,832.49, 6,654.01 and 4,231.55 is: 5,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.49 : 6,654.01 = 4,231.55 : x
  2. Step 2: Convert to fraction form
    4,832.49/6,654.01 = 4,231.55/x
  3. Step 3: Cross multiply
    4,832.49x = 6,654.01 × 4,231.55
  4. Step 4: Simplify right side
    4,832.49x = 28,156,732.17
  5. Step 5: Solve for x
    x = 28,156,732.17/4,832.49
  6. Step 6: Final answer
    x = 5,826.55

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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.