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Finding the Fourth Proportional to 3,974.60, 5,485.22 and 2,402.76

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Solution

The fourth proportional to 3,974.60, 5,485.22 and 2,402.76 is: 3,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.60 : 5,485.22 = 2,402.76 : x
  2. Step 2: Convert to fraction form
    3,974.60/5,485.22 = 2,402.76/x
  3. Step 3: Cross multiply
    3,974.60x = 5,485.22 × 2,402.76
  4. Step 4: Simplify right side
    3,974.60x = 13,179,667.21
  5. Step 5: Solve for x
    x = 13,179,667.21/3,974.60
  6. Step 6: Final answer
    x = 3,315.97

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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.