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Finding the Fourth Proportional to 4,661.34, 6,997.47 and 3,268.95

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Solution

The fourth proportional to 4,661.34, 6,997.47 and 3,268.95 is: 4,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.34 : 6,997.47 = 3,268.95 : x
  2. Step 2: Convert to fraction form
    4,661.34/6,997.47 = 3,268.95/x
  3. Step 3: Cross multiply
    4,661.34x = 6,997.47 × 3,268.95
  4. Step 4: Simplify right side
    4,661.34x = 22,874,379.56
  5. Step 5: Solve for x
    x = 22,874,379.56/4,661.34
  6. Step 6: Final answer
    x = 4,907.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.