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Finding the Fourth Proportional to 6,418.64, 8,857.86 and 3,765.98

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Solution

The fourth proportional to 6,418.64, 8,857.86 and 3,765.98 is: 5,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.64 : 8,857.86 = 3,765.98 : x
  2. Step 2: Convert to fraction form
    6,418.64/8,857.86 = 3,765.98/x
  3. Step 3: Cross multiply
    6,418.64x = 8,857.86 × 3,765.98
  4. Step 4: Simplify right side
    6,418.64x = 33,358,523.60
  5. Step 5: Solve for x
    x = 33,358,523.60/6,418.64
  6. Step 6: Final answer
    x = 5,197.13

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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.