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Finding the Fourth Proportional to 3,224.01, 4,420.16 and 3,165.69

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Solution

The fourth proportional to 3,224.01, 4,420.16 and 3,165.69 is: 4,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.01 : 4,420.16 = 3,165.69 : x
  2. Step 2: Convert to fraction form
    3,224.01/4,420.16 = 3,165.69/x
  3. Step 3: Cross multiply
    3,224.01x = 4,420.16 × 3,165.69
  4. Step 4: Simplify right side
    3,224.01x = 13,992,842.87
  5. Step 5: Solve for x
    x = 13,992,842.87/3,224.01
  6. Step 6: Final answer
    x = 4,340.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.