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Finding the Fourth Proportional to 3,643.74, 5,020.38 and 3,044.12

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Solution

The fourth proportional to 3,643.74, 5,020.38 and 3,044.12 is: 4,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.74 : 5,020.38 = 3,044.12 : x
  2. Step 2: Convert to fraction form
    3,643.74/5,020.38 = 3,044.12/x
  3. Step 3: Cross multiply
    3,643.74x = 5,020.38 × 3,044.12
  4. Step 4: Simplify right side
    3,643.74x = 15,282,639.17
  5. Step 5: Solve for x
    x = 15,282,639.17/3,643.74
  6. Step 6: Final answer
    x = 4,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.