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Finding the Fourth Proportional to 5,732.82, 7,912.70 and 3,495.93

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Solution

The fourth proportional to 5,732.82, 7,912.70 and 3,495.93 is: 4,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.82 : 7,912.70 = 3,495.93 : x
  2. Step 2: Convert to fraction form
    5,732.82/7,912.70 = 3,495.93/x
  3. Step 3: Cross multiply
    5,732.82x = 7,912.70 × 3,495.93
  4. Step 4: Simplify right side
    5,732.82x = 27,662,245.31
  5. Step 5: Solve for x
    x = 27,662,245.31/5,732.82
  6. Step 6: Final answer
    x = 4,825.24

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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.