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Finding the Fourth Proportional to 5,732.26, 7,911.93 and 3,495.37

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Solution

The fourth proportional to 5,732.26, 7,911.93 and 3,495.37 is: 4,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.26 : 7,911.93 = 3,495.37 : x
  2. Step 2: Convert to fraction form
    5,732.26/7,911.93 = 3,495.37/x
  3. Step 3: Cross multiply
    5,732.26x = 7,911.93 × 3,495.37
  4. Step 4: Simplify right side
    5,732.26x = 27,655,105.29
  5. Step 5: Solve for x
    x = 27,655,105.29/5,732.26
  6. Step 6: Final answer
    x = 4,824.47

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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.