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Finding the Fourth Proportional to 3,747, 5,622.54 and 1,408.62

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Solution

The fourth proportional to 3,747, 5,622.54 and 1,408.62 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 5,622.54 = 1,408.62 : x
  2. Step 2: Convert to fraction form
    3,747/5,622.54 = 1,408.62/x
  3. Step 3: Cross multiply
    3,747x = 5,622.54 × 1,408.62
  4. Step 4: Simplify right side
    3,747x = 7,920,022.29
  5. Step 5: Solve for x
    x = 7,920,022.29/3,747
  6. Step 6: Final answer
    x = 2,113.70

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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.