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Finding the Fourth Proportional to 4,859.70, 7,278.12 and 3,212.16

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Solution

The fourth proportional to 4,859.70, 7,278.12 and 3,212.16 is: 4,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.70 : 7,278.12 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    4,859.70/7,278.12 = 3,212.16/x
  3. Step 3: Cross multiply
    4,859.70x = 7,278.12 × 3,212.16
  4. Step 4: Simplify right side
    4,859.70x = 23,378,485.94
  5. Step 5: Solve for x
    x = 23,378,485.94/4,859.70
  6. Step 6: Final answer
    x = 4,810.69

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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.