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Finding the Fourth Proportional to 3,226.50, 4,841.50 and 2,497.50

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Solution

The fourth proportional to 3,226.50, 4,841.50 and 2,497.50 is: 3,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.50 : 4,841.50 = 2,497.50 : x
  2. Step 2: Convert to fraction form
    3,226.50/4,841.50 = 2,497.50/x
  3. Step 3: Cross multiply
    3,226.50x = 4,841.50 × 2,497.50
  4. Step 4: Simplify right side
    3,226.50x = 12,091,646.25
  5. Step 5: Solve for x
    x = 12,091,646.25/3,226.50
  6. Step 6: Final answer
    x = 3,747.60

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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.