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Finding the Fourth Proportional to 3,968.50, 5,948.72 and 1,884.82

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Solution

The fourth proportional to 3,968.50, 5,948.72 and 1,884.82 is: 2,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.50 : 5,948.72 = 1,884.82 : x
  2. Step 2: Convert to fraction form
    3,968.50/5,948.72 = 1,884.82/x
  3. Step 3: Cross multiply
    3,968.50x = 5,948.72 × 1,884.82
  4. Step 4: Simplify right side
    3,968.50x = 11,212,266.43
  5. Step 5: Solve for x
    x = 11,212,266.43/3,968.50
  6. Step 6: Final answer
    x = 2,825.32

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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.