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Finding the Fourth Proportional to 4,847.74, 7,271.64 and 2,072.07

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Solution

The fourth proportional to 4,847.74, 7,271.64 and 2,072.07 is: 3,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.74 : 7,271.64 = 2,072.07 : x
  2. Step 2: Convert to fraction form
    4,847.74/7,271.64 = 2,072.07/x
  3. Step 3: Cross multiply
    4,847.74x = 7,271.64 × 2,072.07
  4. Step 4: Simplify right side
    4,847.74x = 15,067,347.09
  5. Step 5: Solve for x
    x = 15,067,347.09/4,847.74
  6. Step 6: Final answer
    x = 3,108.12

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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.