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Finding the Fourth Proportional to 3,282.98, 4,916.74 and 2,855.36

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Solution

The fourth proportional to 3,282.98, 4,916.74 and 2,855.36 is: 4,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.98 : 4,916.74 = 2,855.36 : x
  2. Step 2: Convert to fraction form
    3,282.98/4,916.74 = 2,855.36/x
  3. Step 3: Cross multiply
    3,282.98x = 4,916.74 × 2,855.36
  4. Step 4: Simplify right side
    3,282.98x = 14,039,062.73
  5. Step 5: Solve for x
    x = 14,039,062.73/3,282.98
  6. Step 6: Final answer
    x = 4,276.32

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Why These Related Problems?

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