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Finding the Fourth Proportional to 4,540.77, 6,806.79 and 1,765.26

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Solution

The fourth proportional to 4,540.77, 6,806.79 and 1,765.26 is: 2,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.77 : 6,806.79 = 1,765.26 : x
  2. Step 2: Convert to fraction form
    4,540.77/6,806.79 = 1,765.26/x
  3. Step 3: Cross multiply
    4,540.77x = 6,806.79 × 1,765.26
  4. Step 4: Simplify right side
    4,540.77x = 12,015,754.12
  5. Step 5: Solve for x
    x = 12,015,754.12/4,540.77
  6. Step 6: Final answer
    x = 2,646.19

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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.