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Finding the Fourth Proportional to 3,735.39, 5,603.08 and 1,138.33

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Solution

The fourth proportional to 3,735.39, 5,603.08 and 1,138.33 is: 1,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.39 : 5,603.08 = 1,138.33 : x
  2. Step 2: Convert to fraction form
    3,735.39/5,603.08 = 1,138.33/x
  3. Step 3: Cross multiply
    3,735.39x = 5,603.08 × 1,138.33
  4. Step 4: Simplify right side
    3,735.39x = 6,378,154.06
  5. Step 5: Solve for x
    x = 6,378,154.06/3,735.39
  6. Step 6: Final answer
    x = 1,707.49

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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.