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Finding the Fourth Proportional to 5,797.82, 8,698.35 and 1,904.96

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Solution

The fourth proportional to 5,797.82, 8,698.35 and 1,904.96 is: 2,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.82 : 8,698.35 = 1,904.96 : x
  2. Step 2: Convert to fraction form
    5,797.82/8,698.35 = 1,904.96/x
  3. Step 3: Cross multiply
    5,797.82x = 8,698.35 × 1,904.96
  4. Step 4: Simplify right side
    5,797.82x = 16,570,008.82
  5. Step 5: Solve for x
    x = 16,570,008.82/5,797.82
  6. Step 6: Final answer
    x = 2,857.97

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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.