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Finding the Fourth Proportional to 5,321.94, 7,344.65 and 2,964.57

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Solution

The fourth proportional to 5,321.94, 7,344.65 and 2,964.57 is: 4,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.94 : 7,344.65 = 2,964.57 : x
  2. Step 2: Convert to fraction form
    5,321.94/7,344.65 = 2,964.57/x
  3. Step 3: Cross multiply
    5,321.94x = 7,344.65 × 2,964.57
  4. Step 4: Simplify right side
    5,321.94x = 21,773,736.46
  5. Step 5: Solve for x
    x = 21,773,736.46/5,321.94
  6. Step 6: Final answer
    x = 4,091.32

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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.