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Finding the Fourth Proportional to 6,072.30, 8,380.26 and 3,419.55

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Solution

The fourth proportional to 6,072.30, 8,380.26 and 3,419.55 is: 4,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.30 : 8,380.26 = 3,419.55 : x
  2. Step 2: Convert to fraction form
    6,072.30/8,380.26 = 3,419.55/x
  3. Step 3: Cross multiply
    6,072.30x = 8,380.26 × 3,419.55
  4. Step 4: Simplify right side
    6,072.30x = 28,656,718.08
  5. Step 5: Solve for x
    x = 28,656,718.08/6,072.30
  6. Step 6: Final answer
    x = 4,719.25

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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.