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Finding the Fourth Proportional to 3,622.02, 5,433.02 and 1,282.10

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Solution

The fourth proportional to 3,622.02, 5,433.02 and 1,282.10 is: 1,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.02 : 5,433.02 = 1,282.10 : x
  2. Step 2: Convert to fraction form
    3,622.02/5,433.02 = 1,282.10/x
  3. Step 3: Cross multiply
    3,622.02x = 5,433.02 × 1,282.10
  4. Step 4: Simplify right side
    3,622.02x = 6,965,674.94
  5. Step 5: Solve for x
    x = 6,965,674.94/3,622.02
  6. Step 6: Final answer
    x = 1,923.15

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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.