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Finding the Fourth Proportional to 6,078.84, 8,388.64 and 3,426.20

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Solution

The fourth proportional to 6,078.84, 8,388.64 and 3,426.20 is: 4,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.84 : 8,388.64 = 3,426.20 : x
  2. Step 2: Convert to fraction form
    6,078.84/8,388.64 = 3,426.20/x
  3. Step 3: Cross multiply
    6,078.84x = 8,388.64 × 3,426.20
  4. Step 4: Simplify right side
    6,078.84x = 28,741,158.37
  5. Step 5: Solve for x
    x = 28,741,158.37/6,078.84
  6. Step 6: Final answer
    x = 4,728.07

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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.