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Finding the Fourth Proportional to 5,142.78, 7,097.16 and 3,046.92

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Solution

The fourth proportional to 5,142.78, 7,097.16 and 3,046.92 is: 4,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.78 : 7,097.16 = 3,046.92 : x
  2. Step 2: Convert to fraction form
    5,142.78/7,097.16 = 3,046.92/x
  3. Step 3: Cross multiply
    5,142.78x = 7,097.16 × 3,046.92
  4. Step 4: Simplify right side
    5,142.78x = 21,624,478.75
  5. Step 5: Solve for x
    x = 21,624,478.75/5,142.78
  6. Step 6: Final answer
    x = 4,204.82

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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.