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Finding the Fourth Proportional to 5,732.88, 7,912.47 and 3,376.32

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Solution

The fourth proportional to 5,732.88, 7,912.47 and 3,376.32 is: 4,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.88 : 7,912.47 = 3,376.32 : x
  2. Step 2: Convert to fraction form
    5,732.88/7,912.47 = 3,376.32/x
  3. Step 3: Cross multiply
    5,732.88x = 7,912.47 × 3,376.32
  4. Step 4: Simplify right side
    5,732.88x = 26,715,030.71
  5. Step 5: Solve for x
    x = 26,715,030.71/5,732.88
  6. Step 6: Final answer
    x = 4,659.97

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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.