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Finding the Fourth Proportional to 3,086.36, 4,630.62 and 895.22

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Solution

The fourth proportional to 3,086.36, 4,630.62 and 895.22 is: 1,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.36 : 4,630.62 = 895.22 : x
  2. Step 2: Convert to fraction form
    3,086.36/4,630.62 = 895.22/x
  3. Step 3: Cross multiply
    3,086.36x = 4,630.62 × 895.22
  4. Step 4: Simplify right side
    3,086.36x = 4,145,396.01
  5. Step 5: Solve for x
    x = 4,145,396.01/3,086.36
  6. Step 6: Final answer
    x = 1,343.14

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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.