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Finding the Fourth Proportional to 3,677.58, 5,516.75 and 1,596.98

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Solution

The fourth proportional to 3,677.58, 5,516.75 and 1,596.98 is: 2,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.58 : 5,516.75 = 1,596.98 : x
  2. Step 2: Convert to fraction form
    3,677.58/5,516.75 = 1,596.98/x
  3. Step 3: Cross multiply
    3,677.58x = 5,516.75 × 1,596.98
  4. Step 4: Simplify right side
    3,677.58x = 8,810,157.20
  5. Step 5: Solve for x
    x = 8,810,157.20/3,677.58
  6. Step 6: Final answer
    x = 2,395.64

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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.