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Finding the Fourth Proportional to 5,676.88, 8,509.56 and 3,596.24

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Solution

The fourth proportional to 5,676.88, 8,509.56 and 3,596.24 is: 5,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.88 : 8,509.56 = 3,596.24 : x
  2. Step 2: Convert to fraction form
    5,676.88/8,509.56 = 3,596.24/x
  3. Step 3: Cross multiply
    5,676.88x = 8,509.56 × 3,596.24
  4. Step 4: Simplify right side
    5,676.88x = 30,602,420.05
  5. Step 5: Solve for x
    x = 30,602,420.05/5,676.88
  6. Step 6: Final answer
    x = 5,390.71

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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.