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Finding the Fourth Proportional to 4,902.26, 6,765 and 2,664.14

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Solution

The fourth proportional to 4,902.26, 6,765 and 2,664.14 is: 3,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.26 : 6,765 = 2,664.14 : x
  2. Step 2: Convert to fraction form
    4,902.26/6,765 = 2,664.14/x
  3. Step 3: Cross multiply
    4,902.26x = 6,765 × 2,664.14
  4. Step 4: Simplify right side
    4,902.26x = 18,022,907.10
  5. Step 5: Solve for x
    x = 18,022,907.10/4,902.26
  6. Step 6: Final answer
    x = 3,676.45

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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.