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Finding the Fourth Proportional to 3,466.70, 5,196.33 and 3,189.83

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Solution

The fourth proportional to 3,466.70, 5,196.33 and 3,189.83 is: 4,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.70 : 5,196.33 = 3,189.83 : x
  2. Step 2: Convert to fraction form
    3,466.70/5,196.33 = 3,189.83/x
  3. Step 3: Cross multiply
    3,466.70x = 5,196.33 × 3,189.83
  4. Step 4: Simplify right side
    3,466.70x = 16,575,409.32
  5. Step 5: Solve for x
    x = 16,575,409.32/3,466.70
  6. Step 6: Final answer
    x = 4,781.32

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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.