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Finding the Fourth Proportional to 3,561.84, 5,343.03 and 1,222.02

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Solution

The fourth proportional to 3,561.84, 5,343.03 and 1,222.02 is: 1,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.84 : 5,343.03 = 1,222.02 : x
  2. Step 2: Convert to fraction form
    3,561.84/5,343.03 = 1,222.02/x
  3. Step 3: Cross multiply
    3,561.84x = 5,343.03 × 1,222.02
  4. Step 4: Simplify right side
    3,561.84x = 6,529,289.52
  5. Step 5: Solve for x
    x = 6,529,289.52/3,561.84
  6. Step 6: Final answer
    x = 1,833.12

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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.