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Finding the Fourth Proportional to 5,138.88, 7,712.84 and 2,675.36

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Solution

The fourth proportional to 5,138.88, 7,712.84 and 2,675.36 is: 4,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.88 : 7,712.84 = 2,675.36 : x
  2. Step 2: Convert to fraction form
    5,138.88/7,712.84 = 2,675.36/x
  3. Step 3: Cross multiply
    5,138.88x = 7,712.84 × 2,675.36
  4. Step 4: Simplify right side
    5,138.88x = 20,634,623.62
  5. Step 5: Solve for x
    x = 20,634,623.62/5,138.88
  6. Step 6: Final answer
    x = 4,015.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.