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Finding the Fourth Proportional to 3,693.33, 5,540.81 and 1,096.47

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Solution

The fourth proportional to 3,693.33, 5,540.81 and 1,096.47 is: 1,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.33 : 5,540.81 = 1,096.47 : x
  2. Step 2: Convert to fraction form
    3,693.33/5,540.81 = 1,096.47/x
  3. Step 3: Cross multiply
    3,693.33x = 5,540.81 × 1,096.47
  4. Step 4: Simplify right side
    3,693.33x = 6,075,326.46
  5. Step 5: Solve for x
    x = 6,075,326.46/3,693.33
  6. Step 6: Final answer
    x = 1,644.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.