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Finding the Fourth Proportional to 3,280.97, 4,925.10 and 3,229.94

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Solution

The fourth proportional to 3,280.97, 4,925.10 and 3,229.94 is: 4,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.97 : 4,925.10 = 3,229.94 : x
  2. Step 2: Convert to fraction form
    3,280.97/4,925.10 = 3,229.94/x
  3. Step 3: Cross multiply
    3,280.97x = 4,925.10 × 3,229.94
  4. Step 4: Simplify right side
    3,280.97x = 15,907,752.87
  5. Step 5: Solve for x
    x = 15,907,752.87/3,280.97
  6. Step 6: Final answer
    x = 4,848.50

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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.