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Finding the Fourth Proportional to 3,733, 5,600.16 and 1,268.08

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Solution

The fourth proportional to 3,733, 5,600.16 and 1,268.08 is: 1,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733 : 5,600.16 = 1,268.08 : x
  2. Step 2: Convert to fraction form
    3,733/5,600.16 = 1,268.08/x
  3. Step 3: Cross multiply
    3,733x = 5,600.16 × 1,268.08
  4. Step 4: Simplify right side
    3,733x = 7,101,450.89
  5. Step 5: Solve for x
    x = 7,101,450.89/3,733
  6. Step 6: Final answer
    x = 1,902.34

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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.