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Finding the Fourth Proportional to 5,895.84, 8,847.81 and 3,814.95

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Solution

The fourth proportional to 5,895.84, 8,847.81 and 3,814.95 is: 5,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.84 : 8,847.81 = 3,814.95 : x
  2. Step 2: Convert to fraction form
    5,895.84/8,847.81 = 3,814.95/x
  3. Step 3: Cross multiply
    5,895.84x = 8,847.81 × 3,814.95
  4. Step 4: Simplify right side
    5,895.84x = 33,753,952.76
  5. Step 5: Solve for x
    x = 33,753,952.76/5,895.84
  6. Step 6: Final answer
    x = 5,725.05

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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.