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Finding the Fourth Proportional to 3,457.88, 5,186.81 and 1,119.83

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Solution

The fourth proportional to 3,457.88, 5,186.81 and 1,119.83 is: 1,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.88 : 5,186.81 = 1,119.83 : x
  2. Step 2: Convert to fraction form
    3,457.88/5,186.81 = 1,119.83/x
  3. Step 3: Cross multiply
    3,457.88x = 5,186.81 × 1,119.83
  4. Step 4: Simplify right side
    3,457.88x = 5,808,361.21
  5. Step 5: Solve for x
    x = 5,808,361.21/3,457.88
  6. Step 6: Final answer
    x = 1,679.75

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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.