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Finding the Fourth Proportional to 5,863, 8,094.42 and 4,468.36

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Solution

The fourth proportional to 5,863, 8,094.42 and 4,468.36 is: 6,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863 : 8,094.42 = 4,468.36 : x
  2. Step 2: Convert to fraction form
    5,863/8,094.42 = 4,468.36/x
  3. Step 3: Cross multiply
    5,863x = 8,094.42 × 4,468.36
  4. Step 4: Simplify right side
    5,863x = 36,168,782.55
  5. Step 5: Solve for x
    x = 36,168,782.55/5,863
  6. Step 6: Final answer
    x = 6,168.99

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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.