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Finding the Fourth Proportional to 3,606.96, 4,977.50 and 2,114.85

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Solution

The fourth proportional to 3,606.96, 4,977.50 and 2,114.85 is: 2,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.96 : 4,977.50 = 2,114.85 : x
  2. Step 2: Convert to fraction form
    3,606.96/4,977.50 = 2,114.85/x
  3. Step 3: Cross multiply
    3,606.96x = 4,977.50 × 2,114.85
  4. Step 4: Simplify right side
    3,606.96x = 10,526,655.30
  5. Step 5: Solve for x
    x = 10,526,655.30/3,606.96
  6. Step 6: Final answer
    x = 2,918.43

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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.