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Finding the Fourth Proportional to 5,781.53, 8,656.12 and 3,696.29

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Solution

The fourth proportional to 5,781.53, 8,656.12 and 3,696.29 is: 5,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.53 : 8,656.12 = 3,696.29 : x
  2. Step 2: Convert to fraction form
    5,781.53/8,656.12 = 3,696.29/x
  3. Step 3: Cross multiply
    5,781.53x = 8,656.12 × 3,696.29
  4. Step 4: Simplify right side
    5,781.53x = 31,995,511.31
  5. Step 5: Solve for x
    x = 31,995,511.31/5,781.53
  6. Step 6: Final answer
    x = 5,534.09

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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.