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Finding the Fourth Proportional to 5,552.94, 7,664.31 and 3,785.25

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Solution

The fourth proportional to 5,552.94, 7,664.31 and 3,785.25 is: 5,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.94 : 7,664.31 = 3,785.25 : x
  2. Step 2: Convert to fraction form
    5,552.94/7,664.31 = 3,785.25/x
  3. Step 3: Cross multiply
    5,552.94x = 7,664.31 × 3,785.25
  4. Step 4: Simplify right side
    5,552.94x = 29,011,329.43
  5. Step 5: Solve for x
    x = 29,011,329.43/5,552.94
  6. Step 6: Final answer
    x = 5,224.50

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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.