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Finding the Fourth Proportional to 5,842.08, 8,057.04 and 5,204.88

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Solution

The fourth proportional to 5,842.08, 8,057.04 and 5,204.88 is: 7,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.08 : 8,057.04 = 5,204.88 : x
  2. Step 2: Convert to fraction form
    5,842.08/8,057.04 = 5,204.88/x
  3. Step 3: Cross multiply
    5,842.08x = 8,057.04 × 5,204.88
  4. Step 4: Simplify right side
    5,842.08x = 41,935,926.36
  5. Step 5: Solve for x
    x = 41,935,926.36/5,842.08
  6. Step 6: Final answer
    x = 7,178.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.