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Finding the Fourth Proportional to 5,214.38, 7,196.14 and 2,976.24

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Solution

The fourth proportional to 5,214.38, 7,196.14 and 2,976.24 is: 4,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.38 : 7,196.14 = 2,976.24 : x
  2. Step 2: Convert to fraction form
    5,214.38/7,196.14 = 2,976.24/x
  3. Step 3: Cross multiply
    5,214.38x = 7,196.14 × 2,976.24
  4. Step 4: Simplify right side
    5,214.38x = 21,417,470.42
  5. Step 5: Solve for x
    x = 21,417,470.42/5,214.38
  6. Step 6: Final answer
    x = 4,107.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.