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Finding the Fourth Proportional to 3,874.96, 5,813.55 and 1,533.52

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Solution

The fourth proportional to 3,874.96, 5,813.55 and 1,533.52 is: 2,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.96 : 5,813.55 = 1,533.52 : x
  2. Step 2: Convert to fraction form
    3,874.96/5,813.55 = 1,533.52/x
  3. Step 3: Cross multiply
    3,874.96x = 5,813.55 × 1,533.52
  4. Step 4: Simplify right side
    3,874.96x = 8,915,195.20
  5. Step 5: Solve for x
    x = 8,915,195.20/3,874.96
  6. Step 6: Final answer
    x = 2,300.72

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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.