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Finding the Fourth Proportional to 3,280.44, 4,924.02 and 2,557.92

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Solution

The fourth proportional to 3,280.44, 4,924.02 and 2,557.92 is: 3,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.44 : 4,924.02 = 2,557.92 : x
  2. Step 2: Convert to fraction form
    3,280.44/4,924.02 = 2,557.92/x
  3. Step 3: Cross multiply
    3,280.44x = 4,924.02 × 2,557.92
  4. Step 4: Simplify right side
    3,280.44x = 12,595,249.24
  5. Step 5: Solve for x
    x = 12,595,249.24/3,280.44
  6. Step 6: Final answer
    x = 3,839.50

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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.