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Finding the Fourth Proportional to 3,643.07, 5,469.19 and 3,034.22

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Solution

The fourth proportional to 3,643.07, 5,469.19 and 3,034.22 is: 4,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.07 : 5,469.19 = 3,034.22 : x
  2. Step 2: Convert to fraction form
    3,643.07/5,469.19 = 3,034.22/x
  3. Step 3: Cross multiply
    3,643.07x = 5,469.19 × 3,034.22
  4. Step 4: Simplify right side
    3,643.07x = 16,594,690.75
  5. Step 5: Solve for x
    x = 16,594,690.75/3,643.07
  6. Step 6: Final answer
    x = 4,555.15

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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.