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Finding the Fourth Proportional to 3,763.53, 5,191.05 and 2,627.31

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Solution

The fourth proportional to 3,763.53, 5,191.05 and 2,627.31 is: 3,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.53 : 5,191.05 = 2,627.31 : x
  2. Step 2: Convert to fraction form
    3,763.53/5,191.05 = 2,627.31/x
  3. Step 3: Cross multiply
    3,763.53x = 5,191.05 × 2,627.31
  4. Step 4: Simplify right side
    3,763.53x = 13,638,497.58
  5. Step 5: Solve for x
    x = 13,638,497.58/3,763.53
  6. Step 6: Final answer
    x = 3,623.86

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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.