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Finding the Fourth Proportional to 3,459.66, 5,189.67 and 1,151.34

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Solution

The fourth proportional to 3,459.66, 5,189.67 and 1,151.34 is: 1,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.66 : 5,189.67 = 1,151.34 : x
  2. Step 2: Convert to fraction form
    3,459.66/5,189.67 = 1,151.34/x
  3. Step 3: Cross multiply
    3,459.66x = 5,189.67 × 1,151.34
  4. Step 4: Simplify right side
    3,459.66x = 5,975,074.66
  5. Step 5: Solve for x
    x = 5,975,074.66/3,459.66
  6. Step 6: Final answer
    x = 1,727.07

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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.