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Finding the Fourth Proportional to 3,651.72, 5,476.94 and 1,186.18

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Solution

The fourth proportional to 3,651.72, 5,476.94 and 1,186.18 is: 1,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.72 : 5,476.94 = 1,186.18 : x
  2. Step 2: Convert to fraction form
    3,651.72/5,476.94 = 1,186.18/x
  3. Step 3: Cross multiply
    3,651.72x = 5,476.94 × 1,186.18
  4. Step 4: Simplify right side
    3,651.72x = 6,496,636.69
  5. Step 5: Solve for x
    x = 6,496,636.69/3,651.72
  6. Step 6: Final answer
    x = 1,779.06

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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.