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Finding the Fourth Proportional to 3,596.89, 4,964.63 and 3,223.22

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Solution

The fourth proportional to 3,596.89, 4,964.63 and 3,223.22 is: 4,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.89 : 4,964.63 = 3,223.22 : x
  2. Step 2: Convert to fraction form
    3,596.89/4,964.63 = 3,223.22/x
  3. Step 3: Cross multiply
    3,596.89x = 4,964.63 × 3,223.22
  4. Step 4: Simplify right side
    3,596.89x = 16,002,094.71
  5. Step 5: Solve for x
    x = 16,002,094.71/3,596.89
  6. Step 6: Final answer
    x = 4,448.87

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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.