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Finding the Fourth Proportional to 3,681.96, 5,080.32 and 2,191.20

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Solution

The fourth proportional to 3,681.96, 5,080.32 and 2,191.20 is: 3,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.96 : 5,080.32 = 2,191.20 : x
  2. Step 2: Convert to fraction form
    3,681.96/5,080.32 = 2,191.20/x
  3. Step 3: Cross multiply
    3,681.96x = 5,080.32 × 2,191.20
  4. Step 4: Simplify right side
    3,681.96x = 11,131,997.18
  5. Step 5: Solve for x
    x = 11,131,997.18/3,681.96
  6. Step 6: Final answer
    x = 3,023.39

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Why These Related Problems?

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