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Finding the Fourth Proportional to 3,417.84, 4,709.40 and 2,755.44

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Solution

The fourth proportional to 3,417.84, 4,709.40 and 2,755.44 is: 3,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.84 : 4,709.40 = 2,755.44 : x
  2. Step 2: Convert to fraction form
    3,417.84/4,709.40 = 2,755.44/x
  3. Step 3: Cross multiply
    3,417.84x = 4,709.40 × 2,755.44
  4. Step 4: Simplify right side
    3,417.84x = 12,976,469.14
  5. Step 5: Solve for x
    x = 12,976,469.14/3,417.84
  6. Step 6: Final answer
    x = 3,796.69

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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.