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Finding the Fourth Proportional to 4,075.09, 5,623.64 and 2,212.09

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Solution

The fourth proportional to 4,075.09, 5,623.64 and 2,212.09 is: 3,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.09 : 5,623.64 = 2,212.09 : x
  2. Step 2: Convert to fraction form
    4,075.09/5,623.64 = 2,212.09/x
  3. Step 3: Cross multiply
    4,075.09x = 5,623.64 × 2,212.09
  4. Step 4: Simplify right side
    4,075.09x = 12,439,997.81
  5. Step 5: Solve for x
    x = 12,439,997.81/4,075.09
  6. Step 6: Final answer
    x = 3,052.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.