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Finding the Fourth Proportional to 5,606, 7,736.52 and 3,122

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Solution

The fourth proportional to 5,606, 7,736.52 and 3,122 is: 4,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606 : 7,736.52 = 3,122 : x
  2. Step 2: Convert to fraction form
    5,606/7,736.52 = 3,122/x
  3. Step 3: Cross multiply
    5,606x = 7,736.52 × 3,122
  4. Step 4: Simplify right side
    5,606x = 24,153,415.44
  5. Step 5: Solve for x
    x = 24,153,415.44/5,606
  6. Step 6: Final answer
    x = 4,308.49

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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.