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Finding the Fourth Proportional to 4,138.98, 6,174.72 and 3,406.32

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Solution

The fourth proportional to 4,138.98, 6,174.72 and 3,406.32 is: 5,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.98 : 6,174.72 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    4,138.98/6,174.72 = 3,406.32/x
  3. Step 3: Cross multiply
    4,138.98x = 6,174.72 × 3,406.32
  4. Step 4: Simplify right side
    4,138.98x = 21,033,072.23
  5. Step 5: Solve for x
    x = 21,033,072.23/4,138.98
  6. Step 6: Final answer
    x = 5,081.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.