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Finding the Fourth Proportional to 3,890, 5,828.12 and 2,500.08

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Solution

The fourth proportional to 3,890, 5,828.12 and 2,500.08 is: 3,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 5,828.12 = 2,500.08 : x
  2. Step 2: Convert to fraction form
    3,890/5,828.12 = 2,500.08/x
  3. Step 3: Cross multiply
    3,890x = 5,828.12 × 2,500.08
  4. Step 4: Simplify right side
    3,890x = 14,570,766.25
  5. Step 5: Solve for x
    x = 14,570,766.25/3,890
  6. Step 6: Final answer
    x = 3,745.70

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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.