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Finding the Fourth Proportional to 6,072.64, 8,380.29 and 3,419.80

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Solution

The fourth proportional to 6,072.64, 8,380.29 and 3,419.80 is: 4,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.64 : 8,380.29 = 3,419.80 : x
  2. Step 2: Convert to fraction form
    6,072.64/8,380.29 = 3,419.80/x
  3. Step 3: Cross multiply
    6,072.64x = 8,380.29 × 3,419.80
  4. Step 4: Simplify right side
    6,072.64x = 28,658,915.74
  5. Step 5: Solve for x
    x = 28,658,915.74/6,072.64
  6. Step 6: Final answer
    x = 4,719.35

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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.