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Finding the Fourth Proportional to 3,826.99, 5,739.82 and 1,053.04

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Solution

The fourth proportional to 3,826.99, 5,739.82 and 1,053.04 is: 1,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.99 : 5,739.82 = 1,053.04 : x
  2. Step 2: Convert to fraction form
    3,826.99/5,739.82 = 1,053.04/x
  3. Step 3: Cross multiply
    3,826.99x = 5,739.82 × 1,053.04
  4. Step 4: Simplify right side
    3,826.99x = 6,044,260.05
  5. Step 5: Solve for x
    x = 6,044,260.05/3,826.99
  6. Step 6: Final answer
    x = 1,579.38

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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.