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Finding the Fourth Proportional to 3,874.16, 5,346.42 and 2,195.64

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Solution

The fourth proportional to 3,874.16, 5,346.42 and 2,195.64 is: 3,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.16 : 5,346.42 = 2,195.64 : x
  2. Step 2: Convert to fraction form
    3,874.16/5,346.42 = 2,195.64/x
  3. Step 3: Cross multiply
    3,874.16x = 5,346.42 × 2,195.64
  4. Step 4: Simplify right side
    3,874.16x = 11,738,813.61
  5. Step 5: Solve for x
    x = 11,738,813.61/3,874.16
  6. Step 6: Final answer
    x = 3,030.03

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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.