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Finding the Fourth Proportional to 5,634.63, 7,774.04 and 3,397.21

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Solution

The fourth proportional to 5,634.63, 7,774.04 and 3,397.21 is: 4,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.63 : 7,774.04 = 3,397.21 : x
  2. Step 2: Convert to fraction form
    5,634.63/7,774.04 = 3,397.21/x
  3. Step 3: Cross multiply
    5,634.63x = 7,774.04 × 3,397.21
  4. Step 4: Simplify right side
    5,634.63x = 26,410,035.49
  5. Step 5: Solve for x
    x = 26,410,035.49/5,634.63
  6. Step 6: Final answer
    x = 4,687.09

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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.