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Finding the Fourth Proportional to 3,857.09, 5,785.61 and 1,260

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Solution

The fourth proportional to 3,857.09, 5,785.61 and 1,260 is: 1,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.09 : 5,785.61 = 1,260 : x
  2. Step 2: Convert to fraction form
    3,857.09/5,785.61 = 1,260/x
  3. Step 3: Cross multiply
    3,857.09x = 5,785.61 × 1,260
  4. Step 4: Simplify right side
    3,857.09x = 7,289,862.30
  5. Step 5: Solve for x
    x = 7,289,862.30/3,857.09
  6. Step 6: Final answer
    x = 1,889.99

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