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Finding the Fourth Proportional to 5,344.59, 7,376.22 and 3,107.64

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Solution

The fourth proportional to 5,344.59, 7,376.22 and 3,107.64 is: 4,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.59 : 7,376.22 = 3,107.64 : x
  2. Step 2: Convert to fraction form
    5,344.59/7,376.22 = 3,107.64/x
  3. Step 3: Cross multiply
    5,344.59x = 7,376.22 × 3,107.64
  4. Step 4: Simplify right side
    5,344.59x = 22,922,636.32
  5. Step 5: Solve for x
    x = 22,922,636.32/5,344.59
  6. Step 6: Final answer
    x = 4,288.94

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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.