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Finding the Fourth Proportional to 5,349.75, 7,382.00 and 2,959.40

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Solution

The fourth proportional to 5,349.75, 7,382.00 and 2,959.40 is: 4,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.75 : 7,382.00 = 2,959.40 : x
  2. Step 2: Convert to fraction form
    5,349.75/7,382.00 = 2,959.40/x
  3. Step 3: Cross multiply
    5,349.75x = 7,382.00 × 2,959.40
  4. Step 4: Simplify right side
    5,349.75x = 21,846,239.09
  5. Step 5: Solve for x
    x = 21,846,239.09/5,349.75
  6. Step 6: Final answer
    x = 4,083.60

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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.