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Finding the Fourth Proportional to 5,342.54, 7,371.29 and 3,664.46

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Solution

The fourth proportional to 5,342.54, 7,371.29 and 3,664.46 is: 5,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.54 : 7,371.29 = 3,664.46 : x
  2. Step 2: Convert to fraction form
    5,342.54/7,371.29 = 3,664.46/x
  3. Step 3: Cross multiply
    5,342.54x = 7,371.29 × 3,664.46
  4. Step 4: Simplify right side
    5,342.54x = 27,011,824.94
  5. Step 5: Solve for x
    x = 27,011,824.94/5,342.54
  6. Step 6: Final answer
    x = 5,055.99

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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.