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Finding the Fourth Proportional to 3,219.46, 4,828.04 and 2,185.14

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Solution

The fourth proportional to 3,219.46, 4,828.04 and 2,185.14 is: 3,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.46 : 4,828.04 = 2,185.14 : x
  2. Step 2: Convert to fraction form
    3,219.46/4,828.04 = 2,185.14/x
  3. Step 3: Cross multiply
    3,219.46x = 4,828.04 × 2,185.14
  4. Step 4: Simplify right side
    3,219.46x = 10,549,943.33
  5. Step 5: Solve for x
    x = 10,549,943.33/3,219.46
  6. Step 6: Final answer
    x = 3,276.93

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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.