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Finding the Fourth Proportional to 5,139.70, 7,707.72 and 1,851.91

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Solution

The fourth proportional to 5,139.70, 7,707.72 and 1,851.91 is: 2,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.70 : 7,707.72 = 1,851.91 : x
  2. Step 2: Convert to fraction form
    5,139.70/7,707.72 = 1,851.91/x
  3. Step 3: Cross multiply
    5,139.70x = 7,707.72 × 1,851.91
  4. Step 4: Simplify right side
    5,139.70x = 14,274,003.75
  5. Step 5: Solve for x
    x = 14,274,003.75/5,139.70
  6. Step 6: Final answer
    x = 2,777.21

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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.