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Finding the Fourth Proportional to 3,713.56, 5,124.86 and 2,141.80

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Solution

The fourth proportional to 3,713.56, 5,124.86 and 2,141.80 is: 2,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.56 : 5,124.86 = 2,141.80 : x
  2. Step 2: Convert to fraction form
    3,713.56/5,124.86 = 2,141.80/x
  3. Step 3: Cross multiply
    3,713.56x = 5,124.86 × 2,141.80
  4. Step 4: Simplify right side
    3,713.56x = 10,976,425.15
  5. Step 5: Solve for x
    x = 10,976,425.15/3,713.56
  6. Step 6: Final answer
    x = 2,955.77

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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.