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Finding the Fourth Proportional to 5,896.86, 8,849.04 and 2,776.74

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Solution

The fourth proportional to 5,896.86, 8,849.04 and 2,776.74 is: 4,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.86 : 8,849.04 = 2,776.74 : x
  2. Step 2: Convert to fraction form
    5,896.86/8,849.04 = 2,776.74/x
  3. Step 3: Cross multiply
    5,896.86x = 8,849.04 × 2,776.74
  4. Step 4: Simplify right side
    5,896.86x = 24,571,483.33
  5. Step 5: Solve for x
    x = 24,571,483.33/5,896.86
  6. Step 6: Final answer
    x = 4,166.88

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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.