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Finding the Fourth Proportional to 5,792.87, 8,689.98 and 2,096.84

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Solution

The fourth proportional to 5,792.87, 8,689.98 and 2,096.84 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.87 : 8,689.98 = 2,096.84 : x
  2. Step 2: Convert to fraction form
    5,792.87/8,689.98 = 2,096.84/x
  3. Step 3: Cross multiply
    5,792.87x = 8,689.98 × 2,096.84
  4. Step 4: Simplify right side
    5,792.87x = 18,221,454.21
  5. Step 5: Solve for x
    x = 18,221,454.21/5,792.87
  6. Step 6: Final answer
    x = 3,145.50

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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.