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Finding the Fourth Proportional to 3,796.44, 5,693.76 and 1,199.40

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Solution

The fourth proportional to 3,796.44, 5,693.76 and 1,199.40 is: 1,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.44 : 5,693.76 = 1,199.40 : x
  2. Step 2: Convert to fraction form
    3,796.44/5,693.76 = 1,199.40/x
  3. Step 3: Cross multiply
    3,796.44x = 5,693.76 × 1,199.40
  4. Step 4: Simplify right side
    3,796.44x = 6,829,095.74
  5. Step 5: Solve for x
    x = 6,829,095.74/3,796.44
  6. Step 6: Final answer
    x = 1,798.82

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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.