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Finding the Fourth Proportional to 5,952.16, 8,213.84 and 3,468

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Solution

The fourth proportional to 5,952.16, 8,213.84 and 3,468 is: 4,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.16 : 8,213.84 = 3,468 : x
  2. Step 2: Convert to fraction form
    5,952.16/8,213.84 = 3,468/x
  3. Step 3: Cross multiply
    5,952.16x = 8,213.84 × 3,468
  4. Step 4: Simplify right side
    5,952.16x = 28,485,597.12
  5. Step 5: Solve for x
    x = 28,485,597.12/5,952.16
  6. Step 6: Final answer
    x = 4,785.76

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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.