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Finding the Fourth Proportional to 4,468, 6,165.84 and 2,478.85

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Solution

The fourth proportional to 4,468, 6,165.84 and 2,478.85 is: 3,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468 : 6,165.84 = 2,478.85 : x
  2. Step 2: Convert to fraction form
    4,468/6,165.84 = 2,478.85/x
  3. Step 3: Cross multiply
    4,468x = 6,165.84 × 2,478.85
  4. Step 4: Simplify right side
    4,468x = 15,284,192.48
  5. Step 5: Solve for x
    x = 15,284,192.48/4,468
  6. Step 6: Final answer
    x = 3,420.81

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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.