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Finding the Fourth Proportional to 3,782.86, 5,674.30 and 1,186

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Solution

The fourth proportional to 3,782.86, 5,674.30 and 1,186 is: 1,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.86 : 5,674.30 = 1,186 : x
  2. Step 2: Convert to fraction form
    3,782.86/5,674.30 = 1,186/x
  3. Step 3: Cross multiply
    3,782.86x = 5,674.30 × 1,186
  4. Step 4: Simplify right side
    3,782.86x = 6,729,719.80
  5. Step 5: Solve for x
    x = 6,729,719.80/3,782.86
  6. Step 6: Final answer
    x = 1,779.00

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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.