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Finding the Fourth Proportional to 5,096.92, 7,032.16 and 2,858.48

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Solution

The fourth proportional to 5,096.92, 7,032.16 and 2,858.48 is: 3,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.92 : 7,032.16 = 2,858.48 : x
  2. Step 2: Convert to fraction form
    5,096.92/7,032.16 = 2,858.48/x
  3. Step 3: Cross multiply
    5,096.92x = 7,032.16 × 2,858.48
  4. Step 4: Simplify right side
    5,096.92x = 20,101,288.72
  5. Step 5: Solve for x
    x = 20,101,288.72/5,096.92
  6. Step 6: Final answer
    x = 3,943.81

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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.