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Finding the Fourth Proportional to 8,810.57, 13,213.87 and 2,569.23

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Solution

The fourth proportional to 8,810.57, 13,213.87 and 2,569.23 is: 3,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.57 : 13,213.87 = 2,569.23 : x
  2. Step 2: Convert to fraction form
    8,810.57/13,213.87 = 2,569.23/x
  3. Step 3: Cross multiply
    8,810.57x = 13,213.87 × 2,569.23
  4. Step 4: Simplify right side
    8,810.57x = 33,949,464.80
  5. Step 5: Solve for x
    x = 33,949,464.80/8,810.57
  6. Step 6: Final answer
    x = 3,853.26

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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.