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Finding the Fourth Proportional to 5,873.43, 8,806.21 and 3,097.17

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Solution

The fourth proportional to 5,873.43, 8,806.21 and 3,097.17 is: 4,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.43 : 8,806.21 = 3,097.17 : x
  2. Step 2: Convert to fraction form
    5,873.43/8,806.21 = 3,097.17/x
  3. Step 3: Cross multiply
    5,873.43x = 8,806.21 × 3,097.17
  4. Step 4: Simplify right side
    5,873.43x = 27,274,329.43
  5. Step 5: Solve for x
    x = 27,274,329.43/5,873.43
  6. Step 6: Final answer
    x = 4,643.68

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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.