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Finding the Fourth Proportional to 3,408.88, 4,704.76 and 2,083.34

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Solution

The fourth proportional to 3,408.88, 4,704.76 and 2,083.34 is: 2,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.88 : 4,704.76 = 2,083.34 : x
  2. Step 2: Convert to fraction form
    3,408.88/4,704.76 = 2,083.34/x
  3. Step 3: Cross multiply
    3,408.88x = 4,704.76 × 2,083.34
  4. Step 4: Simplify right side
    3,408.88x = 9,801,614.70
  5. Step 5: Solve for x
    x = 9,801,614.70/3,408.88
  6. Step 6: Final answer
    x = 2,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.