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Finding the Fourth Proportional to 5,792.50, 8,689.20 and 2,329.78

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Solution

The fourth proportional to 5,792.50, 8,689.20 and 2,329.78 is: 3,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.50 : 8,689.20 = 2,329.78 : x
  2. Step 2: Convert to fraction form
    5,792.50/8,689.20 = 2,329.78/x
  3. Step 3: Cross multiply
    5,792.50x = 8,689.20 × 2,329.78
  4. Step 4: Simplify right side
    5,792.50x = 20,243,924.38
  5. Step 5: Solve for x
    x = 20,243,924.38/5,792.50
  6. Step 6: Final answer
    x = 3,494.85

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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.