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Finding the Fourth Proportional to 3,779.46, 5,662.44 and 3,225.96

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Solution

The fourth proportional to 3,779.46, 5,662.44 and 3,225.96 is: 4,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.46 : 5,662.44 = 3,225.96 : x
  2. Step 2: Convert to fraction form
    3,779.46/5,662.44 = 3,225.96/x
  3. Step 3: Cross multiply
    3,779.46x = 5,662.44 × 3,225.96
  4. Step 4: Simplify right side
    3,779.46x = 18,266,804.94
  5. Step 5: Solve for x
    x = 18,266,804.94/3,779.46
  6. Step 6: Final answer
    x = 4,833.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.