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Finding the Fourth Proportional to 4,213.87, 6,323.63 and 3,174.64

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Solution

The fourth proportional to 4,213.87, 6,323.63 and 3,174.64 is: 4,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.87 : 6,323.63 = 3,174.64 : x
  2. Step 2: Convert to fraction form
    4,213.87/6,323.63 = 3,174.64/x
  3. Step 3: Cross multiply
    4,213.87x = 6,323.63 × 3,174.64
  4. Step 4: Simplify right side
    4,213.87x = 20,075,248.74
  5. Step 5: Solve for x
    x = 20,075,248.74/4,213.87
  6. Step 6: Final answer
    x = 4,764.09

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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.