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Finding the Fourth Proportional to 3,758.64, 5,186.91 and 2,102.64

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Solution

The fourth proportional to 3,758.64, 5,186.91 and 2,102.64 is: 2,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.64 : 5,186.91 = 2,102.64 : x
  2. Step 2: Convert to fraction form
    3,758.64/5,186.91 = 2,102.64/x
  3. Step 3: Cross multiply
    3,758.64x = 5,186.91 × 2,102.64
  4. Step 4: Simplify right side
    3,758.64x = 10,906,204.44
  5. Step 5: Solve for x
    x = 10,906,204.44/3,758.64
  6. Step 6: Final answer
    x = 2,901.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.