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Finding the Fourth Proportional to 3,672.42, 5,509.44 and 1,208.00

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Solution

The fourth proportional to 3,672.42, 5,509.44 and 1,208.00 is: 1,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.42 : 5,509.44 = 1,208.00 : x
  2. Step 2: Convert to fraction form
    3,672.42/5,509.44 = 1,208.00/x
  3. Step 3: Cross multiply
    3,672.42x = 5,509.44 × 1,208.00
  4. Step 4: Simplify right side
    3,672.42x = 6,655,375.97
  5. Step 5: Solve for x
    x = 6,655,375.97/3,672.42
  6. Step 6: Final answer
    x = 1,812.26

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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.