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Finding the Fourth Proportional to 3,361.14, 5,041.70 and 895.96

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Solution

The fourth proportional to 3,361.14, 5,041.70 and 895.96 is: 1,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.14 : 5,041.70 = 895.96 : x
  2. Step 2: Convert to fraction form
    3,361.14/5,041.70 = 895.96/x
  3. Step 3: Cross multiply
    3,361.14x = 5,041.70 × 895.96
  4. Step 4: Simplify right side
    3,361.14x = 4,517,161.53
  5. Step 5: Solve for x
    x = 4,517,161.53/3,361.14
  6. Step 6: Final answer
    x = 1,343.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.