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Finding the Fourth Proportional to 3,651.96, 5,037.78 and 2,158.80

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Solution

The fourth proportional to 3,651.96, 5,037.78 and 2,158.80 is: 2,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.96 : 5,037.78 = 2,158.80 : x
  2. Step 2: Convert to fraction form
    3,651.96/5,037.78 = 2,158.80/x
  3. Step 3: Cross multiply
    3,651.96x = 5,037.78 × 2,158.80
  4. Step 4: Simplify right side
    3,651.96x = 10,875,559.46
  5. Step 5: Solve for x
    x = 10,875,559.46/3,651.96
  6. Step 6: Final answer
    x = 2,978.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.