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Finding the Fourth Proportional to 5,906.62, 8,862.37 and 2,985.78

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Solution

The fourth proportional to 5,906.62, 8,862.37 and 2,985.78 is: 4,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.62 : 8,862.37 = 2,985.78 : x
  2. Step 2: Convert to fraction form
    5,906.62/8,862.37 = 2,985.78/x
  3. Step 3: Cross multiply
    5,906.62x = 8,862.37 × 2,985.78
  4. Step 4: Simplify right side
    5,906.62x = 26,461,087.10
  5. Step 5: Solve for x
    x = 26,461,087.10/5,906.62
  6. Step 6: Final answer
    x = 4,479.90

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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.