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Finding the Fourth Proportional to 5,361.50, 8,045.50 and 2,283.50

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Solution

The fourth proportional to 5,361.50, 8,045.50 and 2,283.50 is: 3,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.50 : 8,045.50 = 2,283.50 : x
  2. Step 2: Convert to fraction form
    5,361.50/8,045.50 = 2,283.50/x
  3. Step 3: Cross multiply
    5,361.50x = 8,045.50 × 2,283.50
  4. Step 4: Simplify right side
    5,361.50x = 18,371,899.25
  5. Step 5: Solve for x
    x = 18,371,899.25/5,361.50
  6. Step 6: Final answer
    x = 3,426.63

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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.