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Finding the Fourth Proportional to 5,772.14, 8,658.80 and 2,651.60

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Solution

The fourth proportional to 5,772.14, 8,658.80 and 2,651.60 is: 3,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.14 : 8,658.80 = 2,651.60 : x
  2. Step 2: Convert to fraction form
    5,772.14/8,658.80 = 2,651.60/x
  3. Step 3: Cross multiply
    5,772.14x = 8,658.80 × 2,651.60
  4. Step 4: Simplify right side
    5,772.14x = 22,959,674.08
  5. Step 5: Solve for x
    x = 22,959,674.08/5,772.14
  6. Step 6: Final answer
    x = 3,977.67

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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.