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Finding the Fourth Proportional to 3,676.55, 5,514.81 and 1,596.28

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Solution

The fourth proportional to 3,676.55, 5,514.81 and 1,596.28 is: 2,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.55 : 5,514.81 = 1,596.28 : x
  2. Step 2: Convert to fraction form
    3,676.55/5,514.81 = 1,596.28/x
  3. Step 3: Cross multiply
    3,676.55x = 5,514.81 × 1,596.28
  4. Step 4: Simplify right side
    3,676.55x = 8,803,176.92
  5. Step 5: Solve for x
    x = 8,803,176.92/3,676.55
  6. Step 6: Final answer
    x = 2,394.42

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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.