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Finding the Fourth Proportional to 3,938.88, 5,911.96 and 1,992.44

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Solution

The fourth proportional to 3,938.88, 5,911.96 and 1,992.44 is: 2,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.88 : 5,911.96 = 1,992.44 : x
  2. Step 2: Convert to fraction form
    3,938.88/5,911.96 = 1,992.44/x
  3. Step 3: Cross multiply
    3,938.88x = 5,911.96 × 1,992.44
  4. Step 4: Simplify right side
    3,938.88x = 11,779,225.58
  5. Step 5: Solve for x
    x = 11,779,225.58/3,938.88
  6. Step 6: Final answer
    x = 2,990.50

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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.