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Finding the Fourth Proportional to 6,074, 8,379.72 and 3,835.04

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Solution

The fourth proportional to 6,074, 8,379.72 and 3,835.04 is: 5,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074 : 8,379.72 = 3,835.04 : x
  2. Step 2: Convert to fraction form
    6,074/8,379.72 = 3,835.04/x
  3. Step 3: Cross multiply
    6,074x = 8,379.72 × 3,835.04
  4. Step 4: Simplify right side
    6,074x = 32,136,561.39
  5. Step 5: Solve for x
    x = 32,136,561.39/6,074
  6. Step 6: Final answer
    x = 5,290.84

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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.