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Finding the Fourth Proportional to 5,798.28, 8,698.88 and 1,694.28

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Solution

The fourth proportional to 5,798.28, 8,698.88 and 1,694.28 is: 2,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.28 : 8,698.88 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    5,798.28/8,698.88 = 1,694.28/x
  3. Step 3: Cross multiply
    5,798.28x = 8,698.88 × 1,694.28
  4. Step 4: Simplify right side
    5,798.28x = 14,738,338.41
  5. Step 5: Solve for x
    x = 14,738,338.41/5,798.28
  6. Step 6: Final answer
    x = 2,541.85

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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.