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Finding the Fourth Proportional to 5,906.44, 8,860.93 and 2,946.48

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Solution

The fourth proportional to 5,906.44, 8,860.93 and 2,946.48 is: 4,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.44 : 8,860.93 = 2,946.48 : x
  2. Step 2: Convert to fraction form
    5,906.44/8,860.93 = 2,946.48/x
  3. Step 3: Cross multiply
    5,906.44x = 8,860.93 × 2,946.48
  4. Step 4: Simplify right side
    5,906.44x = 26,108,553.03
  5. Step 5: Solve for x
    x = 26,108,553.03/5,906.44
  6. Step 6: Final answer
    x = 4,420.35

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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.