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Finding the Fourth Proportional to 3,977.00, 5,488.86 and 2,861.63

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Solution

The fourth proportional to 3,977.00, 5,488.86 and 2,861.63 is: 3,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.00 : 5,488.86 = 2,861.63 : x
  2. Step 2: Convert to fraction form
    3,977.00/5,488.86 = 2,861.63/x
  3. Step 3: Cross multiply
    3,977.00x = 5,488.86 × 2,861.63
  4. Step 4: Simplify right side
    3,977.00x = 15,707,090.31
  5. Step 5: Solve for x
    x = 15,707,090.31/3,977.00
  6. Step 6: Final answer
    x = 3,949.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.