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Finding the Fourth Proportional to 4,608.38, 6,907.17 and 2,137.97

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Solution

The fourth proportional to 4,608.38, 6,907.17 and 2,137.97 is: 3,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.38 : 6,907.17 = 2,137.97 : x
  2. Step 2: Convert to fraction form
    4,608.38/6,907.17 = 2,137.97/x
  3. Step 3: Cross multiply
    4,608.38x = 6,907.17 × 2,137.97
  4. Step 4: Simplify right side
    4,608.38x = 14,767,322.24
  5. Step 5: Solve for x
    x = 14,767,322.24/4,608.38
  6. Step 6: Final answer
    x = 3,204.45

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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.