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Finding the Fourth Proportional to 3,830.89, 5,745.08 and 1,490.73

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Solution

The fourth proportional to 3,830.89, 5,745.08 and 1,490.73 is: 2,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.89 : 5,745.08 = 1,490.73 : x
  2. Step 2: Convert to fraction form
    3,830.89/5,745.08 = 1,490.73/x
  3. Step 3: Cross multiply
    3,830.89x = 5,745.08 × 1,490.73
  4. Step 4: Simplify right side
    3,830.89x = 8,564,363.11
  5. Step 5: Solve for x
    x = 8,564,363.11/3,830.89
  6. Step 6: Final answer
    x = 2,235.61

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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.