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Finding the Fourth Proportional to 5,792.26, 8,690.01 and 1,899.40

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Solution

The fourth proportional to 5,792.26, 8,690.01 and 1,899.40 is: 2,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.26 : 8,690.01 = 1,899.40 : x
  2. Step 2: Convert to fraction form
    5,792.26/8,690.01 = 1,899.40/x
  3. Step 3: Cross multiply
    5,792.26x = 8,690.01 × 1,899.40
  4. Step 4: Simplify right side
    5,792.26x = 16,505,752.05
  5. Step 5: Solve for x
    x = 16,505,752.05/5,792.26
  6. Step 6: Final answer
    x = 2,849.62

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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.