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Finding the Fourth Proportional to 3,677.57, 5,513.26 and 1,596.01

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Solution

The fourth proportional to 3,677.57, 5,513.26 and 1,596.01 is: 2,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.57 : 5,513.26 = 1,596.01 : x
  2. Step 2: Convert to fraction form
    3,677.57/5,513.26 = 1,596.01/x
  3. Step 3: Cross multiply
    3,677.57x = 5,513.26 × 1,596.01
  4. Step 4: Simplify right side
    3,677.57x = 8,799,190.44
  5. Step 5: Solve for x
    x = 8,799,190.44/3,677.57
  6. Step 6: Final answer
    x = 2,392.66

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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.