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Finding the Fourth Proportional to 3,201, 4,408.02 and 3,066.12

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Solution

The fourth proportional to 3,201, 4,408.02 and 3,066.12 is: 4,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 4,408.02 = 3,066.12 : x
  2. Step 2: Convert to fraction form
    3,201/4,408.02 = 3,066.12/x
  3. Step 3: Cross multiply
    3,201x = 4,408.02 × 3,066.12
  4. Step 4: Simplify right side
    3,201x = 13,515,518.28
  5. Step 5: Solve for x
    x = 13,515,518.28/3,201
  6. Step 6: Final answer
    x = 4,222.28

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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.