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Finding the Fourth Proportional to 5,775.67, 8,662.65 and 2,078.20

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Solution

The fourth proportional to 5,775.67, 8,662.65 and 2,078.20 is: 3,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.67 : 8,662.65 = 2,078.20 : x
  2. Step 2: Convert to fraction form
    5,775.67/8,662.65 = 2,078.20/x
  3. Step 3: Cross multiply
    5,775.67x = 8,662.65 × 2,078.20
  4. Step 4: Simplify right side
    5,775.67x = 18,002,719.23
  5. Step 5: Solve for x
    x = 18,002,719.23/5,775.67
  6. Step 6: Final answer
    x = 3,116.99

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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.