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Finding the Fourth Proportional to 5,201.63, 7,801.53 and 1,694.13

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Solution

The fourth proportional to 5,201.63, 7,801.53 and 1,694.13 is: 2,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.63 : 7,801.53 = 1,694.13 : x
  2. Step 2: Convert to fraction form
    5,201.63/7,801.53 = 1,694.13/x
  3. Step 3: Cross multiply
    5,201.63x = 7,801.53 × 1,694.13
  4. Step 4: Simplify right side
    5,201.63x = 13,216,806.02
  5. Step 5: Solve for x
    x = 13,216,806.02/5,201.63
  6. Step 6: Final answer
    x = 2,540.90

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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.