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Finding the Fourth Proportional to 3,903.68, 5,847.24 and 3,633.98

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Solution

The fourth proportional to 3,903.68, 5,847.24 and 3,633.98 is: 5,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.68 : 5,847.24 = 3,633.98 : x
  2. Step 2: Convert to fraction form
    3,903.68/5,847.24 = 3,633.98/x
  3. Step 3: Cross multiply
    3,903.68x = 5,847.24 × 3,633.98
  4. Step 4: Simplify right side
    3,903.68x = 21,248,753.22
  5. Step 5: Solve for x
    x = 21,248,753.22/3,903.68
  6. Step 6: Final answer
    x = 5,443.26

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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.