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Finding the Fourth Proportional to 5,187.74, 7,782.69 and 1,900.94

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Solution

The fourth proportional to 5,187.74, 7,782.69 and 1,900.94 is: 2,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.74 : 7,782.69 = 1,900.94 : x
  2. Step 2: Convert to fraction form
    5,187.74/7,782.69 = 1,900.94/x
  3. Step 3: Cross multiply
    5,187.74x = 7,782.69 × 1,900.94
  4. Step 4: Simplify right side
    5,187.74x = 14,794,426.73
  5. Step 5: Solve for x
    x = 14,794,426.73/5,187.74
  6. Step 6: Final answer
    x = 2,851.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.