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Finding the Fourth Proportional to 3,407.94, 5,110.70 and 1,099.44

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Solution

The fourth proportional to 3,407.94, 5,110.70 and 1,099.44 is: 1,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.94 : 5,110.70 = 1,099.44 : x
  2. Step 2: Convert to fraction form
    3,407.94/5,110.70 = 1,099.44/x
  3. Step 3: Cross multiply
    3,407.94x = 5,110.70 × 1,099.44
  4. Step 4: Simplify right side
    3,407.94x = 5,618,902.51
  5. Step 5: Solve for x
    x = 5,618,902.51/3,407.94
  6. Step 6: Final answer
    x = 1,648.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.