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Finding the Fourth Proportional to 3,586, 5,377.20 and 1,735.96

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Solution

The fourth proportional to 3,586, 5,377.20 and 1,735.96 is: 2,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,377.20 = 1,735.96 : x
  2. Step 2: Convert to fraction form
    3,586/5,377.20 = 1,735.96/x
  3. Step 3: Cross multiply
    3,586x = 5,377.20 × 1,735.96
  4. Step 4: Simplify right side
    3,586x = 9,334,604.11
  5. Step 5: Solve for x
    x = 9,334,604.11/3,586
  6. Step 6: Final answer
    x = 2,603.07

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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.