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Finding the Fourth Proportional to 3,974.42, 5,484.81 and 2,295.67

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Solution

The fourth proportional to 3,974.42, 5,484.81 and 2,295.67 is: 3,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.42 : 5,484.81 = 2,295.67 : x
  2. Step 2: Convert to fraction form
    3,974.42/5,484.81 = 2,295.67/x
  3. Step 3: Cross multiply
    3,974.42x = 5,484.81 × 2,295.67
  4. Step 4: Simplify right side
    3,974.42x = 12,591,303.53
  5. Step 5: Solve for x
    x = 12,591,303.53/3,974.42
  6. Step 6: Final answer
    x = 3,168.09

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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.