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Finding the Fourth Proportional to 3,800.52, 5,706.03 and 2,627.64

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Solution

The fourth proportional to 3,800.52, 5,706.03 and 2,627.64 is: 3,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.52 : 5,706.03 = 2,627.64 : x
  2. Step 2: Convert to fraction form
    3,800.52/5,706.03 = 2,627.64/x
  3. Step 3: Cross multiply
    3,800.52x = 5,706.03 × 2,627.64
  4. Step 4: Simplify right side
    3,800.52x = 14,993,392.67
  5. Step 5: Solve for x
    x = 14,993,392.67/3,800.52
  6. Step 6: Final answer
    x = 3,945.09

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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.