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Finding the Fourth Proportional to 3,236.87, 4,855.58 and 896.88

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Solution

The fourth proportional to 3,236.87, 4,855.58 and 896.88 is: 1,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.87 : 4,855.58 = 896.88 : x
  2. Step 2: Convert to fraction form
    3,236.87/4,855.58 = 896.88/x
  3. Step 3: Cross multiply
    3,236.87x = 4,855.58 × 896.88
  4. Step 4: Simplify right side
    3,236.87x = 4,354,848.31
  5. Step 5: Solve for x
    x = 4,354,848.31/3,236.87
  6. Step 6: Final answer
    x = 1,345.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.