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Finding the Fourth Proportional to 5,322.22, 7,344.74 and 3,084.26

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Solution

The fourth proportional to 5,322.22, 7,344.74 and 3,084.26 is: 4,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.22 : 7,344.74 = 3,084.26 : x
  2. Step 2: Convert to fraction form
    5,322.22/7,344.74 = 3,084.26/x
  3. Step 3: Cross multiply
    5,322.22x = 7,344.74 × 3,084.26
  4. Step 4: Simplify right side
    5,322.22x = 22,653,087.79
  5. Step 5: Solve for x
    x = 22,653,087.79/5,322.22
  6. Step 6: Final answer
    x = 4,256.32

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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.