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Finding the Fourth Proportional to 3,283.99, 4,532.77 and 1,868.51

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Solution

The fourth proportional to 3,283.99, 4,532.77 and 1,868.51 is: 2,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.99 : 4,532.77 = 1,868.51 : x
  2. Step 2: Convert to fraction form
    3,283.99/4,532.77 = 1,868.51/x
  3. Step 3: Cross multiply
    3,283.99x = 4,532.77 × 1,868.51
  4. Step 4: Simplify right side
    3,283.99x = 8,469,526.07
  5. Step 5: Solve for x
    x = 8,469,526.07/3,283.99
  6. Step 6: Final answer
    x = 2,579.04

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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.