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Finding the Fourth Proportional to 3,633.96, 5,004 and 3,552.24

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Solution

The fourth proportional to 3,633.96, 5,004 and 3,552.24 is: 4,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.96 : 5,004 = 3,552.24 : x
  2. Step 2: Convert to fraction form
    3,633.96/5,004 = 3,552.24/x
  3. Step 3: Cross multiply
    3,633.96x = 5,004 × 3,552.24
  4. Step 4: Simplify right side
    3,633.96x = 17,775,408.96
  5. Step 5: Solve for x
    x = 17,775,408.96/3,633.96
  6. Step 6: Final answer
    x = 4,891.47

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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.