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Finding the Fourth Proportional to 4,778.20, 7,167.30 and 4,705.30

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Solution

The fourth proportional to 4,778.20, 7,167.30 and 4,705.30 is: 7,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.20 : 7,167.30 = 4,705.30 : x
  2. Step 2: Convert to fraction form
    4,778.20/7,167.30 = 4,705.30/x
  3. Step 3: Cross multiply
    4,778.20x = 7,167.30 × 4,705.30
  4. Step 4: Simplify right side
    4,778.20x = 33,724,296.69
  5. Step 5: Solve for x
    x = 33,724,296.69/4,778.20
  6. Step 6: Final answer
    x = 7,057.95

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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.