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Finding the Fourth Proportional to 4,146.64, 6,213.36 and 3,727.01

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Solution

The fourth proportional to 4,146.64, 6,213.36 and 3,727.01 is: 5,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.64 : 6,213.36 = 3,727.01 : x
  2. Step 2: Convert to fraction form
    4,146.64/6,213.36 = 3,727.01/x
  3. Step 3: Cross multiply
    4,146.64x = 6,213.36 × 3,727.01
  4. Step 4: Simplify right side
    4,146.64x = 23,157,263.40
  5. Step 5: Solve for x
    x = 23,157,263.40/4,146.64
  6. Step 6: Final answer
    x = 5,584.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.