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Finding the Fourth Proportional to 5,830.36, 8,749.17 and 2,543.50

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Solution

The fourth proportional to 5,830.36, 8,749.17 and 2,543.50 is: 3,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.36 : 8,749.17 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    5,830.36/8,749.17 = 2,543.50/x
  3. Step 3: Cross multiply
    5,830.36x = 8,749.17 × 2,543.50
  4. Step 4: Simplify right side
    5,830.36x = 22,253,513.90
  5. Step 5: Solve for x
    x = 22,253,513.90/5,830.36
  6. Step 6: Final answer
    x = 3,816.83

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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.