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Finding the Fourth Proportional to 4,185.78, 5,773.02 and 3,558.38

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Solution

The fourth proportional to 4,185.78, 5,773.02 and 3,558.38 is: 4,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.78 : 5,773.02 = 3,558.38 : x
  2. Step 2: Convert to fraction form
    4,185.78/5,773.02 = 3,558.38/x
  3. Step 3: Cross multiply
    4,185.78x = 5,773.02 × 3,558.38
  4. Step 4: Simplify right side
    4,185.78x = 20,542,598.91
  5. Step 5: Solve for x
    x = 20,542,598.91/4,185.78
  6. Step 6: Final answer
    x = 4,907.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.