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Finding the Fourth Proportional to 3,408.62, 5,113.06 and 943.45

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Solution

The fourth proportional to 3,408.62, 5,113.06 and 943.45 is: 1,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.62 : 5,113.06 = 943.45 : x
  2. Step 2: Convert to fraction form
    3,408.62/5,113.06 = 943.45/x
  3. Step 3: Cross multiply
    3,408.62x = 5,113.06 × 943.45
  4. Step 4: Simplify right side
    3,408.62x = 4,823,901.32
  5. Step 5: Solve for x
    x = 4,823,901.32/3,408.62
  6. Step 6: Final answer
    x = 1,415.21

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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.