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Finding the Fourth Proportional to 3,409.68, 5,114.52 and 1,101.36

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Solution

The fourth proportional to 3,409.68, 5,114.52 and 1,101.36 is: 1,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.68 : 5,114.52 = 1,101.36 : x
  2. Step 2: Convert to fraction form
    3,409.68/5,114.52 = 1,101.36/x
  3. Step 3: Cross multiply
    3,409.68x = 5,114.52 × 1,101.36
  4. Step 4: Simplify right side
    3,409.68x = 5,632,927.75
  5. Step 5: Solve for x
    x = 5,632,927.75/3,409.68
  6. Step 6: Final answer
    x = 1,652.04

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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.