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Finding the Fourth Proportional to 3,857.06, 5,325.81 and 3,562.22

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Solution

The fourth proportional to 3,857.06, 5,325.81 and 3,562.22 is: 4,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.06 : 5,325.81 = 3,562.22 : x
  2. Step 2: Convert to fraction form
    3,857.06/5,325.81 = 3,562.22/x
  3. Step 3: Cross multiply
    3,857.06x = 5,325.81 × 3,562.22
  4. Step 4: Simplify right side
    3,857.06x = 18,971,706.90
  5. Step 5: Solve for x
    x = 18,971,706.90/3,857.06
  6. Step 6: Final answer
    x = 4,918.70

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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.