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Finding the Fourth Proportional to 3,681.71, 5,080.62 and 2,109.50

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Solution

The fourth proportional to 3,681.71, 5,080.62 and 2,109.50 is: 2,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.71 : 5,080.62 = 2,109.50 : x
  2. Step 2: Convert to fraction form
    3,681.71/5,080.62 = 2,109.50/x
  3. Step 3: Cross multiply
    3,681.71x = 5,080.62 × 2,109.50
  4. Step 4: Simplify right side
    3,681.71x = 10,717,542.49
  5. Step 5: Solve for x
    x = 10,717,542.49/3,681.71
  6. Step 6: Final answer
    x = 2,911.03

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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.