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Finding the Fourth Proportional to 4,967.91, 7,454.49 and 2,196.50

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Solution

The fourth proportional to 4,967.91, 7,454.49 and 2,196.50 is: 3,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.91 : 7,454.49 = 2,196.50 : x
  2. Step 2: Convert to fraction form
    4,967.91/7,454.49 = 2,196.50/x
  3. Step 3: Cross multiply
    4,967.91x = 7,454.49 × 2,196.50
  4. Step 4: Simplify right side
    4,967.91x = 16,373,750.01
  5. Step 5: Solve for x
    x = 16,373,750.01/4,967.91
  6. Step 6: Final answer
    x = 3,295.90

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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.