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Finding the Fourth Proportional to 3,745.64, 5,614.82 and 2,098.61

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Solution

The fourth proportional to 3,745.64, 5,614.82 and 2,098.61 is: 3,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.64 : 5,614.82 = 2,098.61 : x
  2. Step 2: Convert to fraction form
    3,745.64/5,614.82 = 2,098.61/x
  3. Step 3: Cross multiply
    3,745.64x = 5,614.82 × 2,098.61
  4. Step 4: Simplify right side
    3,745.64x = 11,783,307.76
  5. Step 5: Solve for x
    x = 11,783,307.76/3,745.64
  6. Step 6: Final answer
    x = 3,145.87

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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.