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Finding the Fourth Proportional to 3,713.65, 5,124.70 and 2,120.38

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Solution

The fourth proportional to 3,713.65, 5,124.70 and 2,120.38 is: 2,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.65 : 5,124.70 = 2,120.38 : x
  2. Step 2: Convert to fraction form
    3,713.65/5,124.70 = 2,120.38/x
  3. Step 3: Cross multiply
    3,713.65x = 5,124.70 × 2,120.38
  4. Step 4: Simplify right side
    3,713.65x = 10,866,311.39
  5. Step 5: Solve for x
    x = 10,866,311.39/3,713.65
  6. Step 6: Final answer
    x = 2,926.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.