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Finding the Fourth Proportional to 3,494.52, 5,241.78 and 1,186.02

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Solution

The fourth proportional to 3,494.52, 5,241.78 and 1,186.02 is: 1,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.52 : 5,241.78 = 1,186.02 : x
  2. Step 2: Convert to fraction form
    3,494.52/5,241.78 = 1,186.02/x
  3. Step 3: Cross multiply
    3,494.52x = 5,241.78 × 1,186.02
  4. Step 4: Simplify right side
    3,494.52x = 6,216,855.92
  5. Step 5: Solve for x
    x = 6,216,855.92/3,494.52
  6. Step 6: Final answer
    x = 1,779.03

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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.