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Finding the Fourth Proportional to 2,937.88, 4,408.62 and 2,914.36

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Solution

The fourth proportional to 2,937.88, 4,408.62 and 2,914.36 is: 4,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.88 : 4,408.62 = 2,914.36 : x
  2. Step 2: Convert to fraction form
    2,937.88/4,408.62 = 2,914.36/x
  3. Step 3: Cross multiply
    2,937.88x = 4,408.62 × 2,914.36
  4. Step 4: Simplify right side
    2,937.88x = 12,848,305.78
  5. Step 5: Solve for x
    x = 12,848,305.78/2,937.88
  6. Step 6: Final answer
    x = 4,373.33

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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.