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Finding the Fourth Proportional to 3,755.78, 5,184.43 and 3,362.12

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Solution

The fourth proportional to 3,755.78, 5,184.43 and 3,362.12 is: 4,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.78 : 5,184.43 = 3,362.12 : x
  2. Step 2: Convert to fraction form
    3,755.78/5,184.43 = 3,362.12/x
  3. Step 3: Cross multiply
    3,755.78x = 5,184.43 × 3,362.12
  4. Step 4: Simplify right side
    3,755.78x = 17,430,675.79
  5. Step 5: Solve for x
    x = 17,430,675.79/3,755.78
  6. Step 6: Final answer
    x = 4,641.03

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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.