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Finding the Fourth Proportional to 4,786, 7,173.76 and 2,014.44

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Solution

The fourth proportional to 4,786, 7,173.76 and 2,014.44 is: 3,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 7,173.76 = 2,014.44 : x
  2. Step 2: Convert to fraction form
    4,786/7,173.76 = 2,014.44/x
  3. Step 3: Cross multiply
    4,786x = 7,173.76 × 2,014.44
  4. Step 4: Simplify right side
    4,786x = 14,451,109.09
  5. Step 5: Solve for x
    x = 14,451,109.09/4,786
  6. Step 6: Final answer
    x = 3,019.45

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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.