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Finding the Fourth Proportional to 3,977.37, 5,967.74 and 2,128

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Solution

The fourth proportional to 3,977.37, 5,967.74 and 2,128 is: 3,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.37 : 5,967.74 = 2,128 : x
  2. Step 2: Convert to fraction form
    3,977.37/5,967.74 = 2,128/x
  3. Step 3: Cross multiply
    3,977.37x = 5,967.74 × 2,128
  4. Step 4: Simplify right side
    3,977.37x = 12,699,350.72
  5. Step 5: Solve for x
    x = 12,699,350.72/3,977.37
  6. Step 6: Final answer
    x = 3,192.90

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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.