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Finding the Fourth Proportional to 3,713.41, 5,124.62 and 2,034.97

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Solution

The fourth proportional to 3,713.41, 5,124.62 and 2,034.97 is: 2,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.41 : 5,124.62 = 2,034.97 : x
  2. Step 2: Convert to fraction form
    3,713.41/5,124.62 = 2,034.97/x
  3. Step 3: Cross multiply
    3,713.41x = 5,124.62 × 2,034.97
  4. Step 4: Simplify right side
    3,713.41x = 10,428,412.16
  5. Step 5: Solve for x
    x = 10,428,412.16/3,713.41
  6. Step 6: Final answer
    x = 2,808.31

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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.