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Finding the Fourth Proportional to 3,474.08, 5,201.04 and 2,702.24

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Solution

The fourth proportional to 3,474.08, 5,201.04 and 2,702.24 is: 4,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.08 : 5,201.04 = 2,702.24 : x
  2. Step 2: Convert to fraction form
    3,474.08/5,201.04 = 2,702.24/x
  3. Step 3: Cross multiply
    3,474.08x = 5,201.04 × 2,702.24
  4. Step 4: Simplify right side
    3,474.08x = 14,054,458.33
  5. Step 5: Solve for x
    x = 14,054,458.33/3,474.08
  6. Step 6: Final answer
    x = 4,045.52

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