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Finding the Fourth Proportional to 5,471.82, 8,194.50 and 5,381.10

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Solution

The fourth proportional to 5,471.82, 8,194.50 and 5,381.10 is: 8,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.82 : 8,194.50 = 5,381.10 : x
  2. Step 2: Convert to fraction form
    5,471.82/8,194.50 = 5,381.10/x
  3. Step 3: Cross multiply
    5,471.82x = 8,194.50 × 5,381.10
  4. Step 4: Simplify right side
    5,471.82x = 44,095,423.95
  5. Step 5: Solve for x
    x = 44,095,423.95/5,471.82
  6. Step 6: Final answer
    x = 8,058.64

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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.