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Finding the Fourth Proportional to 3,219.63, 4,829.82 and 1,245.21

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Solution

The fourth proportional to 3,219.63, 4,829.82 and 1,245.21 is: 1,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.63 : 4,829.82 = 1,245.21 : x
  2. Step 2: Convert to fraction form
    3,219.63/4,829.82 = 1,245.21/x
  3. Step 3: Cross multiply
    3,219.63x = 4,829.82 × 1,245.21
  4. Step 4: Simplify right side
    3,219.63x = 6,014,140.16
  5. Step 5: Solve for x
    x = 6,014,140.16/3,219.63
  6. Step 6: Final answer
    x = 1,867.96

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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.