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Finding the Fourth Proportional to 4,679.45, 7,019.16 and 3,214.16

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Solution

The fourth proportional to 4,679.45, 7,019.16 and 3,214.16 is: 4,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.45 : 7,019.16 = 3,214.16 : x
  2. Step 2: Convert to fraction form
    4,679.45/7,019.16 = 3,214.16/x
  3. Step 3: Cross multiply
    4,679.45x = 7,019.16 × 3,214.16
  4. Step 4: Simplify right side
    4,679.45x = 22,560,703.31
  5. Step 5: Solve for x
    x = 22,560,703.31/4,679.45
  6. Step 6: Final answer
    x = 4,821.23

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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.