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Finding the Fourth Proportional to 5,763.52, 8,648.64 and 2,431.56

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Solution

The fourth proportional to 5,763.52, 8,648.64 and 2,431.56 is: 3,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.52 : 8,648.64 = 2,431.56 : x
  2. Step 2: Convert to fraction form
    5,763.52/8,648.64 = 2,431.56/x
  3. Step 3: Cross multiply
    5,763.52x = 8,648.64 × 2,431.56
  4. Step 4: Simplify right side
    5,763.52x = 21,029,687.08
  5. Step 5: Solve for x
    x = 21,029,687.08/5,763.52
  6. Step 6: Final answer
    x = 3,648.76

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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.