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Finding the Fourth Proportional to 4,738.24, 7,109.76 and 3,196

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Solution

The fourth proportional to 4,738.24, 7,109.76 and 3,196 is: 4,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.24 : 7,109.76 = 3,196 : x
  2. Step 2: Convert to fraction form
    4,738.24/7,109.76 = 3,196/x
  3. Step 3: Cross multiply
    4,738.24x = 7,109.76 × 3,196
  4. Step 4: Simplify right side
    4,738.24x = 22,722,792.96
  5. Step 5: Solve for x
    x = 22,722,792.96/4,738.24
  6. Step 6: Final answer
    x = 4,795.62

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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.