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Finding the Fourth Proportional to 4,822.30, 7,221.30 and 3,169.90

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Solution

The fourth proportional to 4,822.30, 7,221.30 and 3,169.90 is: 4,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.30 : 7,221.30 = 3,169.90 : x
  2. Step 2: Convert to fraction form
    4,822.30/7,221.30 = 3,169.90/x
  3. Step 3: Cross multiply
    4,822.30x = 7,221.30 × 3,169.90
  4. Step 4: Simplify right side
    4,822.30x = 22,890,798.87
  5. Step 5: Solve for x
    x = 22,890,798.87/4,822.30
  6. Step 6: Final answer
    x = 4,746.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.