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Finding the Fourth Proportional to 3,830.99, 5,745.27 and 1,490.84

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Solution

The fourth proportional to 3,830.99, 5,745.27 and 1,490.84 is: 2,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.99 : 5,745.27 = 1,490.84 : x
  2. Step 2: Convert to fraction form
    3,830.99/5,745.27 = 1,490.84/x
  3. Step 3: Cross multiply
    3,830.99x = 5,745.27 × 1,490.84
  4. Step 4: Simplify right side
    3,830.99x = 8,565,278.33
  5. Step 5: Solve for x
    x = 8,565,278.33/3,830.99
  6. Step 6: Final answer
    x = 2,235.79

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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.