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Finding the Fourth Proportional to 3,804.96, 5,709.09 and 1,341.54

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Solution

The fourth proportional to 3,804.96, 5,709.09 and 1,341.54 is: 2,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.96 : 5,709.09 = 1,341.54 : x
  2. Step 2: Convert to fraction form
    3,804.96/5,709.09 = 1,341.54/x
  3. Step 3: Cross multiply
    3,804.96x = 5,709.09 × 1,341.54
  4. Step 4: Simplify right side
    3,804.96x = 7,658,972.60
  5. Step 5: Solve for x
    x = 7,658,972.60/3,804.96
  6. Step 6: Final answer
    x = 2,012.89

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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.