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Finding the Fourth Proportional to 4,196.96, 5,783.26 and 3,246.98

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Solution

The fourth proportional to 4,196.96, 5,783.26 and 3,246.98 is: 4,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.96 : 5,783.26 = 3,246.98 : x
  2. Step 2: Convert to fraction form
    4,196.96/5,783.26 = 3,246.98/x
  3. Step 3: Cross multiply
    4,196.96x = 5,783.26 × 3,246.98
  4. Step 4: Simplify right side
    4,196.96x = 18,778,129.55
  5. Step 5: Solve for x
    x = 18,778,129.55/4,196.96
  6. Step 6: Final answer
    x = 4,474.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.