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Finding the Fourth Proportional to 5,971.65, 8,241.04 and 3,453.51

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Solution

The fourth proportional to 5,971.65, 8,241.04 and 3,453.51 is: 4,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.65 : 8,241.04 = 3,453.51 : x
  2. Step 2: Convert to fraction form
    5,971.65/8,241.04 = 3,453.51/x
  3. Step 3: Cross multiply
    5,971.65x = 8,241.04 × 3,453.51
  4. Step 4: Simplify right side
    5,971.65x = 28,460,514.05
  5. Step 5: Solve for x
    x = 28,460,514.05/5,971.65
  6. Step 6: Final answer
    x = 4,765.94

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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.