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Finding the Fourth Proportional to 3,457.68, 5,187.24 and 1,149

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Solution

The fourth proportional to 3,457.68, 5,187.24 and 1,149 is: 1,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.68 : 5,187.24 = 1,149 : x
  2. Step 2: Convert to fraction form
    3,457.68/5,187.24 = 1,149/x
  3. Step 3: Cross multiply
    3,457.68x = 5,187.24 × 1,149
  4. Step 4: Simplify right side
    3,457.68x = 5,960,138.76
  5. Step 5: Solve for x
    x = 5,960,138.76/3,457.68
  6. Step 6: Final answer
    x = 1,723.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.