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Finding the Fourth Proportional to 6,033.54, 9,050.44 and 3,431

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Solution

The fourth proportional to 6,033.54, 9,050.44 and 3,431 is: 5,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.54 : 9,050.44 = 3,431 : x
  2. Step 2: Convert to fraction form
    6,033.54/9,050.44 = 3,431/x
  3. Step 3: Cross multiply
    6,033.54x = 9,050.44 × 3,431
  4. Step 4: Simplify right side
    6,033.54x = 31,052,059.64
  5. Step 5: Solve for x
    x = 31,052,059.64/6,033.54
  6. Step 6: Final answer
    x = 5,146.57

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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.