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Finding the Fourth Proportional to 4,536.33, 6,801.27 and 1,760.66

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Solution

The fourth proportional to 4,536.33, 6,801.27 and 1,760.66 is: 2,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.33 : 6,801.27 = 1,760.66 : x
  2. Step 2: Convert to fraction form
    4,536.33/6,801.27 = 1,760.66/x
  3. Step 3: Cross multiply
    4,536.33x = 6,801.27 × 1,760.66
  4. Step 4: Simplify right side
    4,536.33x = 11,974,724.04
  5. Step 5: Solve for x
    x = 11,974,724.04/4,536.33
  6. Step 6: Final answer
    x = 2,639.74

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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.