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Finding the Fourth Proportional to 3,737.07, 5,610.78 and 2,094.66

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Solution

The fourth proportional to 3,737.07, 5,610.78 and 2,094.66 is: 3,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.07 : 5,610.78 = 2,094.66 : x
  2. Step 2: Convert to fraction form
    3,737.07/5,610.78 = 2,094.66/x
  3. Step 3: Cross multiply
    3,737.07x = 5,610.78 × 2,094.66
  4. Step 4: Simplify right side
    3,737.07x = 11,752,676.43
  5. Step 5: Solve for x
    x = 11,752,676.43/3,737.07
  6. Step 6: Final answer
    x = 3,144.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.