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Finding the Fourth Proportional to 4,943.76, 7,408.92 and 2,480.34

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Solution

The fourth proportional to 4,943.76, 7,408.92 and 2,480.34 is: 3,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.76 : 7,408.92 = 2,480.34 : x
  2. Step 2: Convert to fraction form
    4,943.76/7,408.92 = 2,480.34/x
  3. Step 3: Cross multiply
    4,943.76x = 7,408.92 × 2,480.34
  4. Step 4: Simplify right side
    4,943.76x = 18,376,640.63
  5. Step 5: Solve for x
    x = 18,376,640.63/4,943.76
  6. Step 6: Final answer
    x = 3,717.14

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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.