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Finding the Fourth Proportional to 5,775.48, 8,665.62 and 3,178.20

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Solution

The fourth proportional to 5,775.48, 8,665.62 and 3,178.20 is: 4,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.48 : 8,665.62 = 3,178.20 : x
  2. Step 2: Convert to fraction form
    5,775.48/8,665.62 = 3,178.20/x
  3. Step 3: Cross multiply
    5,775.48x = 8,665.62 × 3,178.20
  4. Step 4: Simplify right side
    5,775.48x = 27,541,073.48
  5. Step 5: Solve for x
    x = 27,541,073.48/5,775.48
  6. Step 6: Final answer
    x = 4,768.62

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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.