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Finding the Fourth Proportional to 5,636.16, 7,777.92 and 3,277.68

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Solution

The fourth proportional to 5,636.16, 7,777.92 and 3,277.68 is: 4,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.16 : 7,777.92 = 3,277.68 : x
  2. Step 2: Convert to fraction form
    5,636.16/7,777.92 = 3,277.68/x
  3. Step 3: Cross multiply
    5,636.16x = 7,777.92 × 3,277.68
  4. Step 4: Simplify right side
    5,636.16x = 25,493,532.83
  5. Step 5: Solve for x
    x = 25,493,532.83/5,636.16
  6. Step 6: Final answer
    x = 4,523.21

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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.