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Finding the Fourth Proportional to 4,778.85, 7,164.78 and 3,214.98

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Solution

The fourth proportional to 4,778.85, 7,164.78 and 3,214.98 is: 4,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.85 : 7,164.78 = 3,214.98 : x
  2. Step 2: Convert to fraction form
    4,778.85/7,164.78 = 3,214.98/x
  3. Step 3: Cross multiply
    4,778.85x = 7,164.78 × 3,214.98
  4. Step 4: Simplify right side
    4,778.85x = 23,034,624.40
  5. Step 5: Solve for x
    x = 23,034,624.40/4,778.85
  6. Step 6: Final answer
    x = 4,820.12

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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.