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Finding the Fourth Proportional to 4,186.32, 5,777 and 2,418.48

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Solution

The fourth proportional to 4,186.32, 5,777 and 2,418.48 is: 3,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.32 : 5,777 = 2,418.48 : x
  2. Step 2: Convert to fraction form
    4,186.32/5,777 = 2,418.48/x
  3. Step 3: Cross multiply
    4,186.32x = 5,777 × 2,418.48
  4. Step 4: Simplify right side
    4,186.32x = 13,971,558.96
  5. Step 5: Solve for x
    x = 13,971,558.96/4,186.32
  6. Step 6: Final answer
    x = 3,337.43

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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.