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Finding the Fourth Proportional to 5,891.96, 8,838.70 and 1,942.04

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Solution

The fourth proportional to 5,891.96, 8,838.70 and 1,942.04 is: 2,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.96 : 8,838.70 = 1,942.04 : x
  2. Step 2: Convert to fraction form
    5,891.96/8,838.70 = 1,942.04/x
  3. Step 3: Cross multiply
    5,891.96x = 8,838.70 × 1,942.04
  4. Step 4: Simplify right side
    5,891.96x = 17,165,108.95
  5. Step 5: Solve for x
    x = 17,165,108.95/5,891.96
  6. Step 6: Final answer
    x = 2,913.31

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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.