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Finding the Fourth Proportional to 6,519.54, 9,775.77 and 2,300.67

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Solution

The fourth proportional to 6,519.54, 9,775.77 and 2,300.67 is: 3,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.54 : 9,775.77 = 2,300.67 : x
  2. Step 2: Convert to fraction form
    6,519.54/9,775.77 = 2,300.67/x
  3. Step 3: Cross multiply
    6,519.54x = 9,775.77 × 2,300.67
  4. Step 4: Simplify right side
    6,519.54x = 22,490,820.77
  5. Step 5: Solve for x
    x = 22,490,820.77/6,519.54
  6. Step 6: Final answer
    x = 3,449.76

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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.