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Finding the Fourth Proportional to 4,196.80, 5,777.76 and 3,572.16

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Solution

The fourth proportional to 4,196.80, 5,777.76 and 3,572.16 is: 4,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.80 : 5,777.76 = 3,572.16 : x
  2. Step 2: Convert to fraction form
    4,196.80/5,777.76 = 3,572.16/x
  3. Step 3: Cross multiply
    4,196.80x = 5,777.76 × 3,572.16
  4. Step 4: Simplify right side
    4,196.80x = 20,639,083.16
  5. Step 5: Solve for x
    x = 20,639,083.16/4,196.80
  6. Step 6: Final answer
    x = 4,917.81

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