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Finding the Fourth Proportional to 5,543.17, 7,649.37 and 3,087.38

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Solution

The fourth proportional to 5,543.17, 7,649.37 and 3,087.38 is: 4,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.17 : 7,649.37 = 3,087.38 : x
  2. Step 2: Convert to fraction form
    5,543.17/7,649.37 = 3,087.38/x
  3. Step 3: Cross multiply
    5,543.17x = 7,649.37 × 3,087.38
  4. Step 4: Simplify right side
    5,543.17x = 23,616,531.07
  5. Step 5: Solve for x
    x = 23,616,531.07/5,543.17
  6. Step 6: Final answer
    x = 4,260.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.