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Finding the Fourth Proportional to 3,693.07, 5,540.69 and 1,096.08

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Solution

The fourth proportional to 3,693.07, 5,540.69 and 1,096.08 is: 1,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.07 : 5,540.69 = 1,096.08 : x
  2. Step 2: Convert to fraction form
    3,693.07/5,540.69 = 1,096.08/x
  3. Step 3: Cross multiply
    3,693.07x = 5,540.69 × 1,096.08
  4. Step 4: Simplify right side
    3,693.07x = 6,073,039.50
  5. Step 5: Solve for x
    x = 6,073,039.50/3,693.07
  6. Step 6: Final answer
    x = 1,644.44

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1.5x scale

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.