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Finding the Fourth Proportional to 3,713.88, 5,122.62 and 2,141.40

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Solution

The fourth proportional to 3,713.88, 5,122.62 and 2,141.40 is: 2,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.88 : 5,122.62 = 2,141.40 : x
  2. Step 2: Convert to fraction form
    3,713.88/5,122.62 = 2,141.40/x
  3. Step 3: Cross multiply
    3,713.88x = 5,122.62 × 2,141.40
  4. Step 4: Simplify right side
    3,713.88x = 10,969,578.47
  5. Step 5: Solve for x
    x = 10,969,578.47/3,713.88
  6. Step 6: Final answer
    x = 2,953.67

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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.