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Finding the Fourth Proportional to 3,891.68, 5,370.66 and 2,213.16

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Solution

The fourth proportional to 3,891.68, 5,370.66 and 2,213.16 is: 3,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.68 : 5,370.66 = 2,213.16 : x
  2. Step 2: Convert to fraction form
    3,891.68/5,370.66 = 2,213.16/x
  3. Step 3: Cross multiply
    3,891.68x = 5,370.66 × 2,213.16
  4. Step 4: Simplify right side
    3,891.68x = 11,886,129.89
  5. Step 5: Solve for x
    x = 11,886,129.89/3,891.68
  6. Step 6: Final answer
    x = 3,054.24

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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.