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Finding the Fourth Proportional to 4,273.52, 6,416.24 and 2,195.28

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Solution

The fourth proportional to 4,273.52, 6,416.24 and 2,195.28 is: 3,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.52 : 6,416.24 = 2,195.28 : x
  2. Step 2: Convert to fraction form
    4,273.52/6,416.24 = 2,195.28/x
  3. Step 3: Cross multiply
    4,273.52x = 6,416.24 × 2,195.28
  4. Step 4: Simplify right side
    4,273.52x = 14,085,432.37
  5. Step 5: Solve for x
    x = 14,085,432.37/4,273.52
  6. Step 6: Final answer
    x = 3,295.98

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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.