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Finding the Fourth Proportional to 6,192, 8,546.04 and 3,708

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Solution

The fourth proportional to 6,192, 8,546.04 and 3,708 is: 5,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192 : 8,546.04 = 3,708 : x
  2. Step 2: Convert to fraction form
    6,192/8,546.04 = 3,708/x
  3. Step 3: Cross multiply
    6,192x = 8,546.04 × 3,708
  4. Step 4: Simplify right side
    6,192x = 31,688,716.32
  5. Step 5: Solve for x
    x = 31,688,716.32/6,192
  6. Step 6: Final answer
    x = 5,117.69

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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.