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Finding the Fourth Proportional to 4,678.56, 7,017.84 and 3,213.27

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Solution

The fourth proportional to 4,678.56, 7,017.84 and 3,213.27 is: 4,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.56 : 7,017.84 = 3,213.27 : x
  2. Step 2: Convert to fraction form
    4,678.56/7,017.84 = 3,213.27/x
  3. Step 3: Cross multiply
    4,678.56x = 7,017.84 × 3,213.27
  4. Step 4: Simplify right side
    4,678.56x = 22,550,214.74
  5. Step 5: Solve for x
    x = 22,550,214.74/4,678.56
  6. Step 6: Final answer
    x = 4,819.91

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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.