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Finding the Fourth Proportional to 3,829.68, 5,745.36 and 1,521.12

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Solution

The fourth proportional to 3,829.68, 5,745.36 and 1,521.12 is: 2,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.68 : 5,745.36 = 1,521.12 : x
  2. Step 2: Convert to fraction form
    3,829.68/5,745.36 = 1,521.12/x
  3. Step 3: Cross multiply
    3,829.68x = 5,745.36 × 1,521.12
  4. Step 4: Simplify right side
    3,829.68x = 8,739,382.00
  5. Step 5: Solve for x
    x = 8,739,382.00/3,829.68
  6. Step 6: Final answer
    x = 2,282.01

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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.