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Finding the Fourth Proportional to 3,719.65, 5,133.97 and 2,228.44

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Solution

The fourth proportional to 3,719.65, 5,133.97 and 2,228.44 is: 3,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.65 : 5,133.97 = 2,228.44 : x
  2. Step 2: Convert to fraction form
    3,719.65/5,133.97 = 2,228.44/x
  3. Step 3: Cross multiply
    3,719.65x = 5,133.97 × 2,228.44
  4. Step 4: Simplify right side
    3,719.65x = 11,440,744.11
  5. Step 5: Solve for x
    x = 11,440,744.11/3,719.65
  6. Step 6: Final answer
    x = 3,075.76

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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.