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Finding the Fourth Proportional to 5,389.24, 7,437.54 and 3,896.68

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Solution

The fourth proportional to 5,389.24, 7,437.54 and 3,896.68 is: 5,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.24 : 7,437.54 = 3,896.68 : x
  2. Step 2: Convert to fraction form
    5,389.24/7,437.54 = 3,896.68/x
  3. Step 3: Cross multiply
    5,389.24x = 7,437.54 × 3,896.68
  4. Step 4: Simplify right side
    5,389.24x = 28,981,713.37
  5. Step 5: Solve for x
    x = 28,981,713.37/5,389.24
  6. Step 6: Final answer
    x = 5,377.70

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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.