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Finding the Fourth Proportional to 3,808.35, 5,713.04 and 1,176.05

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Solution

The fourth proportional to 3,808.35, 5,713.04 and 1,176.05 is: 1,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.35 : 5,713.04 = 1,176.05 : x
  2. Step 2: Convert to fraction form
    3,808.35/5,713.04 = 1,176.05/x
  3. Step 3: Cross multiply
    3,808.35x = 5,713.04 × 1,176.05
  4. Step 4: Simplify right side
    3,808.35x = 6,718,837.91
  5. Step 5: Solve for x
    x = 6,718,837.91/3,808.35
  6. Step 6: Final answer
    x = 1,764.24

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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.