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Finding the Fourth Proportional to 3,467.77, 5,201.45 and 1,002.54

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Solution

The fourth proportional to 3,467.77, 5,201.45 and 1,002.54 is: 1,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.77 : 5,201.45 = 1,002.54 : x
  2. Step 2: Convert to fraction form
    3,467.77/5,201.45 = 1,002.54/x
  3. Step 3: Cross multiply
    3,467.77x = 5,201.45 × 1,002.54
  4. Step 4: Simplify right side
    3,467.77x = 5,214,635.68
  5. Step 5: Solve for x
    x = 5,214,635.68/3,467.77
  6. Step 6: Final answer
    x = 1,503.74

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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.