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Finding the Fourth Proportional to 3,625.81, 5,439.63 and 1,028.75

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Solution

The fourth proportional to 3,625.81, 5,439.63 and 1,028.75 is: 1,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.81 : 5,439.63 = 1,028.75 : x
  2. Step 2: Convert to fraction form
    3,625.81/5,439.63 = 1,028.75/x
  3. Step 3: Cross multiply
    3,625.81x = 5,439.63 × 1,028.75
  4. Step 4: Simplify right side
    3,625.81x = 5,596,019.36
  5. Step 5: Solve for x
    x = 5,596,019.36/3,625.81
  6. Step 6: Final answer
    x = 1,543.38

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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.