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Finding the Fourth Proportional to 5,336.68, 7,371.17 and 3,663.63

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Solution

The fourth proportional to 5,336.68, 7,371.17 and 3,663.63 is: 5,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.68 : 7,371.17 = 3,663.63 : x
  2. Step 2: Convert to fraction form
    5,336.68/7,371.17 = 3,663.63/x
  3. Step 3: Cross multiply
    5,336.68x = 7,371.17 × 3,663.63
  4. Step 4: Simplify right side
    5,336.68x = 27,005,239.55
  5. Step 5: Solve for x
    x = 27,005,239.55/5,336.68
  6. Step 6: Final answer
    x = 5,060.31

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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.