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Finding the Fourth Proportional to 3,768.96, 5,201.31 and 2,333.64

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Solution

The fourth proportional to 3,768.96, 5,201.31 and 2,333.64 is: 3,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,201.31 = 2,333.64 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,201.31 = 2,333.64/x
  3. Step 3: Cross multiply
    3,768.96x = 5,201.31 × 2,333.64
  4. Step 4: Simplify right side
    3,768.96x = 12,137,985.07
  5. Step 5: Solve for x
    x = 12,137,985.07/3,768.96
  6. Step 6: Final answer
    x = 3,220.51

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1.5x scale

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.