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Finding the Fourth Proportional to 5,096.90, 7,034.22 and 2,858.78

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Solution

The fourth proportional to 5,096.90, 7,034.22 and 2,858.78 is: 3,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.90 : 7,034.22 = 2,858.78 : x
  2. Step 2: Convert to fraction form
    5,096.90/7,034.22 = 2,858.78/x
  3. Step 3: Cross multiply
    5,096.90x = 7,034.22 × 2,858.78
  4. Step 4: Simplify right side
    5,096.90x = 20,109,287.45
  5. Step 5: Solve for x
    x = 20,109,287.45/5,096.90
  6. Step 6: Final answer
    x = 3,945.40

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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.