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Finding the Fourth Proportional to 3,962.50, 5,468.25 and 2,306.50

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Solution

The fourth proportional to 3,962.50, 5,468.25 and 2,306.50 is: 3,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.50 : 5,468.25 = 2,306.50 : x
  2. Step 2: Convert to fraction form
    3,962.50/5,468.25 = 2,306.50/x
  3. Step 3: Cross multiply
    3,962.50x = 5,468.25 × 2,306.50
  4. Step 4: Simplify right side
    3,962.50x = 12,612,518.63
  5. Step 5: Solve for x
    x = 12,612,518.63/3,962.50
  6. Step 6: Final answer
    x = 3,182.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.