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Finding the Fourth Proportional to 5,139.15, 7,704 and 1,851.44

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Solution

The fourth proportional to 5,139.15, 7,704 and 1,851.44 is: 2,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.15 : 7,704 = 1,851.44 : x
  2. Step 2: Convert to fraction form
    5,139.15/7,704 = 1,851.44/x
  3. Step 3: Cross multiply
    5,139.15x = 7,704 × 1,851.44
  4. Step 4: Simplify right side
    5,139.15x = 14,263,493.76
  5. Step 5: Solve for x
    x = 14,263,493.76/5,139.15
  6. Step 6: Final answer
    x = 2,775.46

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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.