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Finding the Fourth Proportional to 3,655.56, 5,485.74 and 2,678.68

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Solution

The fourth proportional to 3,655.56, 5,485.74 and 2,678.68 is: 4,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.56 : 5,485.74 = 2,678.68 : x
  2. Step 2: Convert to fraction form
    3,655.56/5,485.74 = 2,678.68/x
  3. Step 3: Cross multiply
    3,655.56x = 5,485.74 × 2,678.68
  4. Step 4: Simplify right side
    3,655.56x = 14,694,542.02
  5. Step 5: Solve for x
    x = 14,694,542.02/3,655.56
  6. Step 6: Final answer
    x = 4,019.78

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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.