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Finding the Fourth Proportional to 5,849.86, 8,764.89 and 3,536.50

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Solution

The fourth proportional to 5,849.86, 8,764.89 and 3,536.50 is: 5,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.86 : 8,764.89 = 3,536.50 : x
  2. Step 2: Convert to fraction form
    5,849.86/8,764.89 = 3,536.50/x
  3. Step 3: Cross multiply
    5,849.86x = 8,764.89 × 3,536.50
  4. Step 4: Simplify right side
    5,849.86x = 30,997,033.49
  5. Step 5: Solve for x
    x = 30,997,033.49/5,849.86
  6. Step 6: Final answer
    x = 5,298.77

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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.