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Finding the Fourth Proportional to 3,606.42, 5,405.92 and 2,616.77

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Solution

The fourth proportional to 3,606.42, 5,405.92 and 2,616.77 is: 3,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.42 : 5,405.92 = 2,616.77 : x
  2. Step 2: Convert to fraction form
    3,606.42/5,405.92 = 2,616.77/x
  3. Step 3: Cross multiply
    3,606.42x = 5,405.92 × 2,616.77
  4. Step 4: Simplify right side
    3,606.42x = 14,146,049.28
  5. Step 5: Solve for x
    x = 14,146,049.28/3,606.42
  6. Step 6: Final answer
    x = 3,922.46

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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.