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Finding the Fourth Proportional to 4,474.69, 6,175.20 and 2,705.27

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Solution

The fourth proportional to 4,474.69, 6,175.20 and 2,705.27 is: 3,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.69 : 6,175.20 = 2,705.27 : x
  2. Step 2: Convert to fraction form
    4,474.69/6,175.20 = 2,705.27/x
  3. Step 3: Cross multiply
    4,474.69x = 6,175.20 × 2,705.27
  4. Step 4: Simplify right side
    4,474.69x = 16,705,603.26
  5. Step 5: Solve for x
    x = 16,705,603.26/4,474.69
  6. Step 6: Final answer
    x = 3,733.35

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