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Finding the Fourth Proportional to 5,849.72, 8,764.84 and 4,114.68

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Solution

The fourth proportional to 5,849.72, 8,764.84 and 4,114.68 is: 6,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.72 : 8,764.84 = 4,114.68 : x
  2. Step 2: Convert to fraction form
    5,849.72/8,764.84 = 4,114.68/x
  3. Step 3: Cross multiply
    5,849.72x = 8,764.84 × 4,114.68
  4. Step 4: Simplify right side
    5,849.72x = 36,064,511.85
  5. Step 5: Solve for x
    x = 36,064,511.85/5,849.72
  6. Step 6: Final answer
    x = 6,165.17

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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.