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Finding the Fourth Proportional to 5,838.35, 8,758.92 and 1,942.79

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Solution

The fourth proportional to 5,838.35, 8,758.92 and 1,942.79 is: 2,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.35 : 8,758.92 = 1,942.79 : x
  2. Step 2: Convert to fraction form
    5,838.35/8,758.92 = 1,942.79/x
  3. Step 3: Cross multiply
    5,838.35x = 8,758.92 × 1,942.79
  4. Step 4: Simplify right side
    5,838.35x = 17,016,742.19
  5. Step 5: Solve for x
    x = 17,016,742.19/5,838.35
  6. Step 6: Final answer
    x = 2,914.65

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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.