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Finding the Fourth Proportional to 5,775.30, 8,648.19 and 3,175.38

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Solution

The fourth proportional to 5,775.30, 8,648.19 and 3,175.38 is: 4,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.30 : 8,648.19 = 3,175.38 : x
  2. Step 2: Convert to fraction form
    5,775.30/8,648.19 = 3,175.38/x
  3. Step 3: Cross multiply
    5,775.30x = 8,648.19 × 3,175.38
  4. Step 4: Simplify right side
    5,775.30x = 27,461,289.56
  5. Step 5: Solve for x
    x = 27,461,289.56/5,775.30
  6. Step 6: Final answer
    x = 4,754.95

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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.