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Finding the Fourth Proportional to 5,142.13, 7,096.07 and 2,784.22

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Solution

The fourth proportional to 5,142.13, 7,096.07 and 2,784.22 is: 3,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.13 : 7,096.07 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    5,142.13/7,096.07 = 2,784.22/x
  3. Step 3: Cross multiply
    5,142.13x = 7,096.07 × 2,784.22
  4. Step 4: Simplify right side
    5,142.13x = 19,757,009.24
  5. Step 5: Solve for x
    x = 19,757,009.24/5,142.13
  6. Step 6: Final answer
    x = 3,842.19

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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.