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Finding the Fourth Proportional to 3,681.72, 5,080.80 and 2,109.96

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Solution

The fourth proportional to 3,681.72, 5,080.80 and 2,109.96 is: 2,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.72 : 5,080.80 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    3,681.72/5,080.80 = 2,109.96/x
  3. Step 3: Cross multiply
    3,681.72x = 5,080.80 × 2,109.96
  4. Step 4: Simplify right side
    3,681.72x = 10,720,284.77
  5. Step 5: Solve for x
    x = 10,720,284.77/3,681.72
  6. Step 6: Final answer
    x = 2,911.76

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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.