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Finding the Fourth Proportional to 3,681.71, 5,080.57 and 2,003.07

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Solution

The fourth proportional to 3,681.71, 5,080.57 and 2,003.07 is: 2,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.71 : 5,080.57 = 2,003.07 : x
  2. Step 2: Convert to fraction form
    3,681.71/5,080.57 = 2,003.07/x
  3. Step 3: Cross multiply
    3,681.71x = 5,080.57 × 2,003.07
  4. Step 4: Simplify right side
    3,681.71x = 10,176,732.34
  5. Step 5: Solve for x
    x = 10,176,732.34/3,681.71
  6. Step 6: Final answer
    x = 2,764.14

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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.