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Finding the Fourth Proportional to 5,717.16, 7,889.52 and 3,199.28

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Solution

The fourth proportional to 5,717.16, 7,889.52 and 3,199.28 is: 4,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.16 : 7,889.52 = 3,199.28 : x
  2. Step 2: Convert to fraction form
    5,717.16/7,889.52 = 3,199.28/x
  3. Step 3: Cross multiply
    5,717.16x = 7,889.52 × 3,199.28
  4. Step 4: Simplify right side
    5,717.16x = 25,240,783.55
  5. Step 5: Solve for x
    x = 25,240,783.55/5,717.16
  6. Step 6: Final answer
    x = 4,414.92

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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.