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Finding the Fourth Proportional to 3,364.22, 4,642.47 and 1,872.06

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Solution

The fourth proportional to 3,364.22, 4,642.47 and 1,872.06 is: 2,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.22 : 4,642.47 = 1,872.06 : x
  2. Step 2: Convert to fraction form
    3,364.22/4,642.47 = 1,872.06/x
  3. Step 3: Cross multiply
    3,364.22x = 4,642.47 × 1,872.06
  4. Step 4: Simplify right side
    3,364.22x = 8,690,982.39
  5. Step 5: Solve for x
    x = 8,690,982.39/3,364.22
  6. Step 6: Final answer
    x = 2,583.36

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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.