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Finding the Fourth Proportional to 4,212, 5,814.96 and 2,722.08

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Solution

The fourth proportional to 4,212, 5,814.96 and 2,722.08 is: 3,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 5,814.96 = 2,722.08 : x
  2. Step 2: Convert to fraction form
    4,212/5,814.96 = 2,722.08/x
  3. Step 3: Cross multiply
    4,212x = 5,814.96 × 2,722.08
  4. Step 4: Simplify right side
    4,212x = 15,828,786.32
  5. Step 5: Solve for x
    x = 15,828,786.32/4,212
  6. Step 6: Final answer
    x = 3,758.02

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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.