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Finding the Fourth Proportional to 4,202.74, 6,290.24 and 2,325.74

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Solution

The fourth proportional to 4,202.74, 6,290.24 and 2,325.74 is: 3,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.74 : 6,290.24 = 2,325.74 : x
  2. Step 2: Convert to fraction form
    4,202.74/6,290.24 = 2,325.74/x
  3. Step 3: Cross multiply
    4,202.74x = 6,290.24 × 2,325.74
  4. Step 4: Simplify right side
    4,202.74x = 14,629,462.78
  5. Step 5: Solve for x
    x = 14,629,462.78/4,202.74
  6. Step 6: Final answer
    x = 3,480.93

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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.