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Finding the Fourth Proportional to 5,752.56, 8,629.41 and 2,289

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Solution

The fourth proportional to 5,752.56, 8,629.41 and 2,289 is: 3,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.56 : 8,629.41 = 2,289 : x
  2. Step 2: Convert to fraction form
    5,752.56/8,629.41 = 2,289/x
  3. Step 3: Cross multiply
    5,752.56x = 8,629.41 × 2,289
  4. Step 4: Simplify right side
    5,752.56x = 19,752,719.49
  5. Step 5: Solve for x
    x = 19,752,719.49/5,752.56
  6. Step 6: Final answer
    x = 3,433.73

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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.