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Finding the Fourth Proportional to 4,108.32, 6,162 and 1,186.32

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Solution

The fourth proportional to 4,108.32, 6,162 and 1,186.32 is: 1,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.32 : 6,162 = 1,186.32 : x
  2. Step 2: Convert to fraction form
    4,108.32/6,162 = 1,186.32/x
  3. Step 3: Cross multiply
    4,108.32x = 6,162 × 1,186.32
  4. Step 4: Simplify right side
    4,108.32x = 7,310,103.84
  5. Step 5: Solve for x
    x = 7,310,103.84/4,108.32
  6. Step 6: Final answer
    x = 1,779.34

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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.