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Finding the Fourth Proportional to 5,188.62, 7,161.83 and 4,488

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Solution

The fourth proportional to 5,188.62, 7,161.83 and 4,488 is: 6,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.62 : 7,161.83 = 4,488 : x
  2. Step 2: Convert to fraction form
    5,188.62/7,161.83 = 4,488/x
  3. Step 3: Cross multiply
    5,188.62x = 7,161.83 × 4,488
  4. Step 4: Simplify right side
    5,188.62x = 32,142,293.04
  5. Step 5: Solve for x
    x = 32,142,293.04/5,188.62
  6. Step 6: Final answer
    x = 6,194.77

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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.