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Finding the Fourth Proportional to 5,694.22, 8,541.69 and 1,798.78

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Solution

The fourth proportional to 5,694.22, 8,541.69 and 1,798.78 is: 2,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.22 : 8,541.69 = 1,798.78 : x
  2. Step 2: Convert to fraction form
    5,694.22/8,541.69 = 1,798.78/x
  3. Step 3: Cross multiply
    5,694.22x = 8,541.69 × 1,798.78
  4. Step 4: Simplify right side
    5,694.22x = 15,364,621.14
  5. Step 5: Solve for x
    x = 15,364,621.14/5,694.22
  6. Step 6: Final answer
    x = 2,698.28

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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.