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Finding the Fourth Proportional to 3,637, 5,480.26 and 3,239.16

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Solution

The fourth proportional to 3,637, 5,480.26 and 3,239.16 is: 4,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637 : 5,480.26 = 3,239.16 : x
  2. Step 2: Convert to fraction form
    3,637/5,480.26 = 3,239.16/x
  3. Step 3: Cross multiply
    3,637x = 5,480.26 × 3,239.16
  4. Step 4: Simplify right side
    3,637x = 17,751,438.98
  5. Step 5: Solve for x
    x = 17,751,438.98/3,637
  6. Step 6: Final answer
    x = 4,880.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.