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Finding the Fourth Proportional to 5,895.18, 8,846.42 and 3,999.78

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Solution

The fourth proportional to 5,895.18, 8,846.42 and 3,999.78 is: 6,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.18 : 8,846.42 = 3,999.78 : x
  2. Step 2: Convert to fraction form
    5,895.18/8,846.42 = 3,999.78/x
  3. Step 3: Cross multiply
    5,895.18x = 8,846.42 × 3,999.78
  4. Step 4: Simplify right side
    5,895.18x = 35,383,713.79
  5. Step 5: Solve for x
    x = 35,383,713.79/5,895.18
  6. Step 6: Final answer
    x = 6,002.14

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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.