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Finding the Fourth Proportional to 3,755.88, 5,633.82 and 1,565.64

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Solution

The fourth proportional to 3,755.88, 5,633.82 and 1,565.64 is: 2,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.88 : 5,633.82 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    3,755.88/5,633.82 = 1,565.64/x
  3. Step 3: Cross multiply
    3,755.88x = 5,633.82 × 1,565.64
  4. Step 4: Simplify right side
    3,755.88x = 8,820,533.94
  5. Step 5: Solve for x
    x = 8,820,533.94/3,755.88
  6. Step 6: Final answer
    x = 2,348.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.