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Finding the Fourth Proportional to 5,213.71, 7,194.96 and 2,855.80

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Solution

The fourth proportional to 5,213.71, 7,194.96 and 2,855.80 is: 3,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.71 : 7,194.96 = 2,855.80 : x
  2. Step 2: Convert to fraction form
    5,213.71/7,194.96 = 2,855.80/x
  3. Step 3: Cross multiply
    5,213.71x = 7,194.96 × 2,855.80
  4. Step 4: Simplify right side
    5,213.71x = 20,547,316.51
  5. Step 5: Solve for x
    x = 20,547,316.51/5,213.71
  6. Step 6: Final answer
    x = 3,941.02

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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.