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Finding the Fourth Proportional to 5,213.86, 7,195.30 and 2,856

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Solution

The fourth proportional to 5,213.86, 7,195.30 and 2,856 is: 3,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.86 : 7,195.30 = 2,856 : x
  2. Step 2: Convert to fraction form
    5,213.86/7,195.30 = 2,856/x
  3. Step 3: Cross multiply
    5,213.86x = 7,195.30 × 2,856
  4. Step 4: Simplify right side
    5,213.86x = 20,549,776.80
  5. Step 5: Solve for x
    x = 20,549,776.80/5,213.86
  6. Step 6: Final answer
    x = 3,941.37

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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.