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Finding the Fourth Proportional to 5,569.97, 8,344.18 and 3,097.31

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Solution

The fourth proportional to 5,569.97, 8,344.18 and 3,097.31 is: 4,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.97 : 8,344.18 = 3,097.31 : x
  2. Step 2: Convert to fraction form
    5,569.97/8,344.18 = 3,097.31/x
  3. Step 3: Cross multiply
    5,569.97x = 8,344.18 × 3,097.31
  4. Step 4: Simplify right side
    5,569.97x = 25,844,474.31
  5. Step 5: Solve for x
    x = 25,844,474.31/5,569.97
  6. Step 6: Final answer
    x = 4,639.97

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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.