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Finding the Fourth Proportional to 6,078.35, 8,388 and 3,425.70

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Solution

The fourth proportional to 6,078.35, 8,388 and 3,425.70 is: 4,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.35 : 8,388 = 3,425.70 : x
  2. Step 2: Convert to fraction form
    6,078.35/8,388 = 3,425.70/x
  3. Step 3: Cross multiply
    6,078.35x = 8,388 × 3,425.70
  4. Step 4: Simplify right side
    6,078.35x = 28,734,771.60
  5. Step 5: Solve for x
    x = 28,734,771.60/6,078.35
  6. Step 6: Final answer
    x = 4,727.40

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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.