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Finding the Fourth Proportional to 4,193.28, 5,784.96 and 2,777.28

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Solution

The fourth proportional to 4,193.28, 5,784.96 and 2,777.28 is: 3,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.28 : 5,784.96 = 2,777.28 : x
  2. Step 2: Convert to fraction form
    4,193.28/5,784.96 = 2,777.28/x
  3. Step 3: Cross multiply
    4,193.28x = 5,784.96 × 2,777.28
  4. Step 4: Simplify right side
    4,193.28x = 16,066,453.71
  5. Step 5: Solve for x
    x = 16,066,453.71/4,193.28
  6. Step 6: Final answer
    x = 3,831.48

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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.