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Finding the Fourth Proportional to 4,535.33, 6,799.77 and 1,759.66

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Solution

The fourth proportional to 4,535.33, 6,799.77 and 1,759.66 is: 2,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.33 : 6,799.77 = 1,759.66 : x
  2. Step 2: Convert to fraction form
    4,535.33/6,799.77 = 1,759.66/x
  3. Step 3: Cross multiply
    4,535.33x = 6,799.77 × 1,759.66
  4. Step 4: Simplify right side
    4,535.33x = 11,965,266.28
  5. Step 5: Solve for x
    x = 11,965,266.28/4,535.33
  6. Step 6: Final answer
    x = 2,638.24

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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.