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Finding the Fourth Proportional to 3,967.85, 5,476.28 and 3,022.13

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Solution

The fourth proportional to 3,967.85, 5,476.28 and 3,022.13 is: 4,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.85 : 5,476.28 = 3,022.13 : x
  2. Step 2: Convert to fraction form
    3,967.85/5,476.28 = 3,022.13/x
  3. Step 3: Cross multiply
    3,967.85x = 5,476.28 × 3,022.13
  4. Step 4: Simplify right side
    3,967.85x = 16,550,030.08
  5. Step 5: Solve for x
    x = 16,550,030.08/3,967.85
  6. Step 6: Final answer
    x = 4,171.03

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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.