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Finding the Fourth Proportional to 5,465.52, 8,198.76 and 1,767.84

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Solution

The fourth proportional to 5,465.52, 8,198.76 and 1,767.84 is: 2,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.52 : 8,198.76 = 1,767.84 : x
  2. Step 2: Convert to fraction form
    5,465.52/8,198.76 = 1,767.84/x
  3. Step 3: Cross multiply
    5,465.52x = 8,198.76 × 1,767.84
  4. Step 4: Simplify right side
    5,465.52x = 14,494,095.88
  5. Step 5: Solve for x
    x = 14,494,095.88/5,465.52
  6. Step 6: Final answer
    x = 2,651.92

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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.