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Finding the Fourth Proportional to 3,495.38, 5,241.81 and 1,186.34

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Solution

The fourth proportional to 3,495.38, 5,241.81 and 1,186.34 is: 1,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.38 : 5,241.81 = 1,186.34 : x
  2. Step 2: Convert to fraction form
    3,495.38/5,241.81 = 1,186.34/x
  3. Step 3: Cross multiply
    3,495.38x = 5,241.81 × 1,186.34
  4. Step 4: Simplify right side
    3,495.38x = 6,218,568.88
  5. Step 5: Solve for x
    x = 6,218,568.88/3,495.38
  6. Step 6: Final answer
    x = 1,779.08

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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.