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Finding the Fourth Proportional to 3,828.68, 5,739.50 and 1,490.25

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Solution

The fourth proportional to 3,828.68, 5,739.50 and 1,490.25 is: 2,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.68 : 5,739.50 = 1,490.25 : x
  2. Step 2: Convert to fraction form
    3,828.68/5,739.50 = 1,490.25/x
  3. Step 3: Cross multiply
    3,828.68x = 5,739.50 × 1,490.25
  4. Step 4: Simplify right side
    3,828.68x = 8,553,315.12
  5. Step 5: Solve for x
    x = 8,553,315.12/3,828.68
  6. Step 6: Final answer
    x = 2,234.01

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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.