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Finding the Fourth Proportional to 4,734.06, 6,531.88 and 2,744.23

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Solution

The fourth proportional to 4,734.06, 6,531.88 and 2,744.23 is: 3,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.06 : 6,531.88 = 2,744.23 : x
  2. Step 2: Convert to fraction form
    4,734.06/6,531.88 = 2,744.23/x
  3. Step 3: Cross multiply
    4,734.06x = 6,531.88 × 2,744.23
  4. Step 4: Simplify right side
    4,734.06x = 17,924,971.40
  5. Step 5: Solve for x
    x = 17,924,971.40/4,734.06
  6. Step 6: Final answer
    x = 3,786.39

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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.