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Finding the Fourth Proportional to 4,694.38, 7,042.38 and 2,097.22

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Solution

The fourth proportional to 4,694.38, 7,042.38 and 2,097.22 is: 3,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.38 : 7,042.38 = 2,097.22 : x
  2. Step 2: Convert to fraction form
    4,694.38/7,042.38 = 2,097.22/x
  3. Step 3: Cross multiply
    4,694.38x = 7,042.38 × 2,097.22
  4. Step 4: Simplify right side
    4,694.38x = 14,769,420.18
  5. Step 5: Solve for x
    x = 14,769,420.18/4,694.38
  6. Step 6: Final answer
    x = 3,146.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.