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Finding the Fourth Proportional to 5,204.24, 7,806.59 and 1,694.24

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Solution

The fourth proportional to 5,204.24, 7,806.59 and 1,694.24 is: 2,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.24 : 7,806.59 = 1,694.24 : x
  2. Step 2: Convert to fraction form
    5,204.24/7,806.59 = 1,694.24/x
  3. Step 3: Cross multiply
    5,204.24x = 7,806.59 × 1,694.24
  4. Step 4: Simplify right side
    5,204.24x = 13,226,237.04
  5. Step 5: Solve for x
    x = 13,226,237.04/5,204.24
  6. Step 6: Final answer
    x = 2,541.43

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1.5x scale

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.