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Finding the Fourth Proportional to 5,894.26, 8,138.94 and 4,009.84

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Solution

The fourth proportional to 5,894.26, 8,138.94 and 4,009.84 is: 5,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.26 : 8,138.94 = 4,009.84 : x
  2. Step 2: Convert to fraction form
    5,894.26/8,138.94 = 4,009.84/x
  3. Step 3: Cross multiply
    5,894.26x = 8,138.94 × 4,009.84
  4. Step 4: Simplify right side
    5,894.26x = 32,635,847.17
  5. Step 5: Solve for x
    x = 32,635,847.17/5,894.26
  6. Step 6: Final answer
    x = 5,536.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.