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Finding the Fourth Proportional to 3,283.75, 4,530.48 and 1,957.27

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Solution

The fourth proportional to 3,283.75, 4,530.48 and 1,957.27 is: 2,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.75 : 4,530.48 = 1,957.27 : x
  2. Step 2: Convert to fraction form
    3,283.75/4,530.48 = 1,957.27/x
  3. Step 3: Cross multiply
    3,283.75x = 4,530.48 × 1,957.27
  4. Step 4: Simplify right side
    3,283.75x = 8,867,372.59
  5. Step 5: Solve for x
    x = 8,867,372.59/3,283.75
  6. Step 6: Final answer
    x = 2,700.38

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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.