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Finding the Fourth Proportional to 5,139.48, 7,709.22 and 1,851.81

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Solution

The fourth proportional to 5,139.48, 7,709.22 and 1,851.81 is: 2,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.48 : 7,709.22 = 1,851.81 : x
  2. Step 2: Convert to fraction form
    5,139.48/7,709.22 = 1,851.81/x
  3. Step 3: Cross multiply
    5,139.48x = 7,709.22 × 1,851.81
  4. Step 4: Simplify right side
    5,139.48x = 14,275,988.72
  5. Step 5: Solve for x
    x = 14,275,988.72/5,139.48
  6. Step 6: Final answer
    x = 2,777.71

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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.