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Finding the Fourth Proportional to 8,168.24, 12,245.88 and 3,548

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Solution

The fourth proportional to 8,168.24, 12,245.88 and 3,548 is: 5,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.24 : 12,245.88 = 3,548 : x
  2. Step 2: Convert to fraction form
    8,168.24/12,245.88 = 3,548/x
  3. Step 3: Cross multiply
    8,168.24x = 12,245.88 × 3,548
  4. Step 4: Simplify right side
    8,168.24x = 43,448,382.24
  5. Step 5: Solve for x
    x = 43,448,382.24/8,168.24
  6. Step 6: Final answer
    x = 5,319.19

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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.