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Finding the Fourth Proportional to 3,735.81, 5,604.21 and 1,269.97

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Solution

The fourth proportional to 3,735.81, 5,604.21 and 1,269.97 is: 1,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.81 : 5,604.21 = 1,269.97 : x
  2. Step 2: Convert to fraction form
    3,735.81/5,604.21 = 1,269.97/x
  3. Step 3: Cross multiply
    3,735.81x = 5,604.21 × 1,269.97
  4. Step 4: Simplify right side
    3,735.81x = 7,117,178.57
  5. Step 5: Solve for x
    x = 7,117,178.57/3,735.81
  6. Step 6: Final answer
    x = 1,905.12

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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.