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Finding the Fourth Proportional to 4,682.58, 7,027.96 and 3,649.22

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Solution

The fourth proportional to 4,682.58, 7,027.96 and 3,649.22 is: 5,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.58 : 7,027.96 = 3,649.22 : x
  2. Step 2: Convert to fraction form
    4,682.58/7,027.96 = 3,649.22/x
  3. Step 3: Cross multiply
    4,682.58x = 7,027.96 × 3,649.22
  4. Step 4: Simplify right side
    4,682.58x = 25,646,572.19
  5. Step 5: Solve for x
    x = 25,646,572.19/4,682.58
  6. Step 6: Final answer
    x = 5,477.02

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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.