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Finding the Fourth Proportional to 5,792.43, 8,689.86 and 2,329.68

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Solution

The fourth proportional to 5,792.43, 8,689.86 and 2,329.68 is: 3,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.43 : 8,689.86 = 2,329.68 : x
  2. Step 2: Convert to fraction form
    5,792.43/8,689.86 = 2,329.68/x
  3. Step 3: Cross multiply
    5,792.43x = 8,689.86 × 2,329.68
  4. Step 4: Simplify right side
    5,792.43x = 20,244,593.04
  5. Step 5: Solve for x
    x = 20,244,593.04/5,792.43
  6. Step 6: Final answer
    x = 3,495.01

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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.