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Finding the Fourth Proportional to 3,820.52, 5,730.81 and 3,633.98

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Solution

The fourth proportional to 3,820.52, 5,730.81 and 3,633.98 is: 5,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.52 : 5,730.81 = 3,633.98 : x
  2. Step 2: Convert to fraction form
    3,820.52/5,730.81 = 3,633.98/x
  3. Step 3: Cross multiply
    3,820.52x = 5,730.81 × 3,633.98
  4. Step 4: Simplify right side
    3,820.52x = 20,825,648.92
  5. Step 5: Solve for x
    x = 20,825,648.92/3,820.52
  6. Step 6: Final answer
    x = 5,451.00

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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.