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Finding the Fourth Proportional to 4,105.53, 6,158.24 and 2,786.01

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Solution

The fourth proportional to 4,105.53, 6,158.24 and 2,786.01 is: 4,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.53 : 6,158.24 = 2,786.01 : x
  2. Step 2: Convert to fraction form
    4,105.53/6,158.24 = 2,786.01/x
  3. Step 3: Cross multiply
    4,105.53x = 6,158.24 × 2,786.01
  4. Step 4: Simplify right side
    4,105.53x = 17,156,918.22
  5. Step 5: Solve for x
    x = 17,156,918.22/4,105.53
  6. Step 6: Final answer
    x = 4,178.98

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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.