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Finding the Fourth Proportional to 5,454.48, 8,184.15 and 2,856.81

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Solution

The fourth proportional to 5,454.48, 8,184.15 and 2,856.81 is: 4,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.48 : 8,184.15 = 2,856.81 : x
  2. Step 2: Convert to fraction form
    5,454.48/8,184.15 = 2,856.81/x
  3. Step 3: Cross multiply
    5,454.48x = 8,184.15 × 2,856.81
  4. Step 4: Simplify right side
    5,454.48x = 23,380,561.56
  5. Step 5: Solve for x
    x = 23,380,561.56/5,454.48
  6. Step 6: Final answer
    x = 4,286.49

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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.