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Finding the Fourth Proportional to 3,783.22, 5,675.63 and 1,186.42

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Solution

The fourth proportional to 3,783.22, 5,675.63 and 1,186.42 is: 1,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.22 : 5,675.63 = 1,186.42 : x
  2. Step 2: Convert to fraction form
    3,783.22/5,675.63 = 1,186.42/x
  3. Step 3: Cross multiply
    3,783.22x = 5,675.63 × 1,186.42
  4. Step 4: Simplify right side
    3,783.22x = 6,733,680.94
  5. Step 5: Solve for x
    x = 6,733,680.94/3,783.22
  6. Step 6: Final answer
    x = 1,779.88

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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.