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Finding the Fourth Proportional to 5,162.96, 7,124.82 and 2,805.12

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Solution

The fourth proportional to 5,162.96, 7,124.82 and 2,805.12 is: 3,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.96 : 7,124.82 = 2,805.12 : x
  2. Step 2: Convert to fraction form
    5,162.96/7,124.82 = 2,805.12/x
  3. Step 3: Cross multiply
    5,162.96x = 7,124.82 × 2,805.12
  4. Step 4: Simplify right side
    5,162.96x = 19,985,975.08
  5. Step 5: Solve for x
    x = 19,985,975.08/5,162.96
  6. Step 6: Final answer
    x = 3,871.03

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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.