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Finding the Fourth Proportional to 5,694.77, 8,542.46 and 1,798.88

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Solution

The fourth proportional to 5,694.77, 8,542.46 and 1,798.88 is: 2,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.77 : 8,542.46 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    5,694.77/8,542.46 = 1,798.88/x
  3. Step 3: Cross multiply
    5,694.77x = 8,542.46 × 1,798.88
  4. Step 4: Simplify right side
    5,694.77x = 15,366,822.23
  5. Step 5: Solve for x
    x = 15,366,822.23/5,694.77
  6. Step 6: Final answer
    x = 2,698.41

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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.