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Finding the Fourth Proportional to 3,457.55, 4,771.76 and 1,965.94

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Solution

The fourth proportional to 3,457.55, 4,771.76 and 1,965.94 is: 2,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.55 : 4,771.76 = 1,965.94 : x
  2. Step 2: Convert to fraction form
    3,457.55/4,771.76 = 1,965.94/x
  3. Step 3: Cross multiply
    3,457.55x = 4,771.76 × 1,965.94
  4. Step 4: Simplify right side
    3,457.55x = 9,380,993.85
  5. Step 5: Solve for x
    x = 9,380,993.85/3,457.55
  6. Step 6: Final answer
    x = 2,713.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.