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Finding the Fourth Proportional to 3,285.77, 4,924.80 and 2,553.12

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Solution

The fourth proportional to 3,285.77, 4,924.80 and 2,553.12 is: 3,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.77 : 4,924.80 = 2,553.12 : x
  2. Step 2: Convert to fraction form
    3,285.77/4,924.80 = 2,553.12/x
  3. Step 3: Cross multiply
    3,285.77x = 4,924.80 × 2,553.12
  4. Step 4: Simplify right side
    3,285.77x = 12,573,605.38
  5. Step 5: Solve for x
    x = 12,573,605.38/3,285.77
  6. Step 6: Final answer
    x = 3,826.69

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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.