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Finding the Fourth Proportional to 4,254.40, 6,376.20 and 3,768.40

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Solution

The fourth proportional to 4,254.40, 6,376.20 and 3,768.40 is: 5,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.40 : 6,376.20 = 3,768.40 : x
  2. Step 2: Convert to fraction form
    4,254.40/6,376.20 = 3,768.40/x
  3. Step 3: Cross multiply
    4,254.40x = 6,376.20 × 3,768.40
  4. Step 4: Simplify right side
    4,254.40x = 24,028,072.08
  5. Step 5: Solve for x
    x = 24,028,072.08/4,254.40
  6. Step 6: Final answer
    x = 5,647.82

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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.