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Finding the Fourth Proportional to 3,407.96, 5,112 and 1,099.46

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Solution

The fourth proportional to 3,407.96, 5,112 and 1,099.46 is: 1,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.96 : 5,112 = 1,099.46 : x
  2. Step 2: Convert to fraction form
    3,407.96/5,112 = 1,099.46/x
  3. Step 3: Cross multiply
    3,407.96x = 5,112 × 1,099.46
  4. Step 4: Simplify right side
    3,407.96x = 5,620,439.52
  5. Step 5: Solve for x
    x = 5,620,439.52/3,407.96
  6. Step 6: Final answer
    x = 1,649.21

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Why These Related Problems?

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