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Finding the Fourth Proportional to 3,409.79, 5,113.60 and 1,100.75

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Solution

The fourth proportional to 3,409.79, 5,113.60 and 1,100.75 is: 1,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.79 : 5,113.60 = 1,100.75 : x
  2. Step 2: Convert to fraction form
    3,409.79/5,113.60 = 1,100.75/x
  3. Step 3: Cross multiply
    3,409.79x = 5,113.60 × 1,100.75
  4. Step 4: Simplify right side
    3,409.79x = 5,628,789.70
  5. Step 5: Solve for x
    x = 5,628,789.70/3,409.79
  6. Step 6: Final answer
    x = 1,650.77

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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.