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Finding the Fourth Proportional to 3,427.38, 4,729.74 and 1,935.20

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Solution

The fourth proportional to 3,427.38, 4,729.74 and 1,935.20 is: 2,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.38 : 4,729.74 = 1,935.20 : x
  2. Step 2: Convert to fraction form
    3,427.38/4,729.74 = 1,935.20/x
  3. Step 3: Cross multiply
    3,427.38x = 4,729.74 × 1,935.20
  4. Step 4: Simplify right side
    3,427.38x = 9,152,992.85
  5. Step 5: Solve for x
    x = 9,152,992.85/3,427.38
  6. Step 6: Final answer
    x = 2,670.55

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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.