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Finding the Fourth Proportional to 3,086.46, 4,630.50 and 895.38

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Solution

The fourth proportional to 3,086.46, 4,630.50 and 895.38 is: 1,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.46 : 4,630.50 = 895.38 : x
  2. Step 2: Convert to fraction form
    3,086.46/4,630.50 = 895.38/x
  3. Step 3: Cross multiply
    3,086.46x = 4,630.50 × 895.38
  4. Step 4: Simplify right side
    3,086.46x = 4,146,057.09
  5. Step 5: Solve for x
    x = 4,146,057.09/3,086.46
  6. Step 6: Final answer
    x = 1,343.30

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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.