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Finding the Fourth Proportional to 3,677.44, 5,516.16 and 1,597.36

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Solution

The fourth proportional to 3,677.44, 5,516.16 and 1,597.36 is: 2,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.44 : 5,516.16 = 1,597.36 : x
  2. Step 2: Convert to fraction form
    3,677.44/5,516.16 = 1,597.36/x
  3. Step 3: Cross multiply
    3,677.44x = 5,516.16 × 1,597.36
  4. Step 4: Simplify right side
    3,677.44x = 8,811,293.34
  5. Step 5: Solve for x
    x = 8,811,293.34/3,677.44
  6. Step 6: Final answer
    x = 2,396.04

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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.