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Finding the Fourth Proportional to 4,109, 5,670.44 and 2,246

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Solution

The fourth proportional to 4,109, 5,670.44 and 2,246 is: 3,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 5,670.44 = 2,246 : x
  2. Step 2: Convert to fraction form
    4,109/5,670.44 = 2,246/x
  3. Step 3: Cross multiply
    4,109x = 5,670.44 × 2,246
  4. Step 4: Simplify right side
    4,109x = 12,735,808.24
  5. Step 5: Solve for x
    x = 12,735,808.24/4,109
  6. Step 6: Final answer
    x = 3,099.49

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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.