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Finding the Fourth Proportional to 5,764.68, 8,642.04 and 4,892.88

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Solution

The fourth proportional to 5,764.68, 8,642.04 and 4,892.88 is: 7,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.68 : 8,642.04 = 4,892.88 : x
  2. Step 2: Convert to fraction form
    5,764.68/8,642.04 = 4,892.88/x
  3. Step 3: Cross multiply
    5,764.68x = 8,642.04 × 4,892.88
  4. Step 4: Simplify right side
    5,764.68x = 42,284,464.68
  5. Step 5: Solve for x
    x = 42,284,464.68/5,764.68
  6. Step 6: Final answer
    x = 7,335.09

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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.