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Finding the Fourth Proportional to 3,734.52, 5,600.04 and 1,268.67

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Solution

The fourth proportional to 3,734.52, 5,600.04 and 1,268.67 is: 1,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.52 : 5,600.04 = 1,268.67 : x
  2. Step 2: Convert to fraction form
    3,734.52/5,600.04 = 1,268.67/x
  3. Step 3: Cross multiply
    3,734.52x = 5,600.04 × 1,268.67
  4. Step 4: Simplify right side
    3,734.52x = 7,104,602.75
  5. Step 5: Solve for x
    x = 7,104,602.75/3,734.52
  6. Step 6: Final answer
    x = 1,902.41

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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.