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Finding the Fourth Proportional to 3,047.84, 4,571.82 and 2,014.44

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Solution

The fourth proportional to 3,047.84, 4,571.82 and 2,014.44 is: 3,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.84 : 4,571.82 = 2,014.44 : x
  2. Step 2: Convert to fraction form
    3,047.84/4,571.82 = 2,014.44/x
  3. Step 3: Cross multiply
    3,047.84x = 4,571.82 × 2,014.44
  4. Step 4: Simplify right side
    3,047.84x = 9,209,657.08
  5. Step 5: Solve for x
    x = 9,209,657.08/3,047.84
  6. Step 6: Final answer
    x = 3,021.70

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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.