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Finding the Fourth Proportional to 3,196.35, 4,783.14 and 2,361.42

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Solution

The fourth proportional to 3,196.35, 4,783.14 and 2,361.42 is: 3,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.35 : 4,783.14 = 2,361.42 : x
  2. Step 2: Convert to fraction form
    3,196.35/4,783.14 = 2,361.42/x
  3. Step 3: Cross multiply
    3,196.35x = 4,783.14 × 2,361.42
  4. Step 4: Simplify right side
    3,196.35x = 11,295,002.46
  5. Step 5: Solve for x
    x = 11,295,002.46/3,196.35
  6. Step 6: Final answer
    x = 3,533.72

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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.