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Finding the Fourth Proportional to 6,078.85, 8,388.98 and 3,426.10

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Solution

The fourth proportional to 6,078.85, 8,388.98 and 3,426.10 is: 4,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.85 : 8,388.98 = 3,426.10 : x
  2. Step 2: Convert to fraction form
    6,078.85/8,388.98 = 3,426.10/x
  3. Step 3: Cross multiply
    6,078.85x = 8,388.98 × 3,426.10
  4. Step 4: Simplify right side
    6,078.85x = 28,741,484.38
  5. Step 5: Solve for x
    x = 28,741,484.38/6,078.85
  6. Step 6: Final answer
    x = 4,728.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.