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Finding the Fourth Proportional to 3,755.86, 5,182.86 and 2,264.26

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Solution

The fourth proportional to 3,755.86, 5,182.86 and 2,264.26 is: 3,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.86 : 5,182.86 = 2,264.26 : x
  2. Step 2: Convert to fraction form
    3,755.86/5,182.86 = 2,264.26/x
  3. Step 3: Cross multiply
    3,755.86x = 5,182.86 × 2,264.26
  4. Step 4: Simplify right side
    3,755.86x = 11,735,342.58
  5. Step 5: Solve for x
    x = 11,735,342.58/3,755.86
  6. Step 6: Final answer
    x = 3,124.54

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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.