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Finding the Fourth Proportional to 5,396, 7,443.33 and 3,717.31

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Solution

The fourth proportional to 5,396, 7,443.33 and 3,717.31 is: 5,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 7,443.33 = 3,717.31 : x
  2. Step 2: Convert to fraction form
    5,396/7,443.33 = 3,717.31/x
  3. Step 3: Cross multiply
    5,396x = 7,443.33 × 3,717.31
  4. Step 4: Simplify right side
    5,396x = 27,669,165.04
  5. Step 5: Solve for x
    x = 27,669,165.04/5,396
  6. Step 6: Final answer
    x = 5,127.72

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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.