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Finding the Fourth Proportional to 3,457.70, 4,772.03 and 1,965.84

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Solution

The fourth proportional to 3,457.70, 4,772.03 and 1,965.84 is: 2,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.70 : 4,772.03 = 1,965.84 : x
  2. Step 2: Convert to fraction form
    3,457.70/4,772.03 = 1,965.84/x
  3. Step 3: Cross multiply
    3,457.70x = 4,772.03 × 1,965.84
  4. Step 4: Simplify right side
    3,457.70x = 9,381,052.37
  5. Step 5: Solve for x
    x = 9,381,052.37/3,457.70
  6. Step 6: Final answer
    x = 2,713.09

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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.