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Finding the Fourth Proportional to 3,873.14, 5,808.54 and 1,100.04

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Solution

The fourth proportional to 3,873.14, 5,808.54 and 1,100.04 is: 1,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.14 : 5,808.54 = 1,100.04 : x
  2. Step 2: Convert to fraction form
    3,873.14/5,808.54 = 1,100.04/x
  3. Step 3: Cross multiply
    3,873.14x = 5,808.54 × 1,100.04
  4. Step 4: Simplify right side
    3,873.14x = 6,389,608.68
  5. Step 5: Solve for x
    x = 6,389,608.68/3,873.14
  6. Step 6: Final answer
    x = 1,649.72

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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.