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Finding the Fourth Proportional to 3,656.79, 5,045.63 and 2,163.96

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Solution

The fourth proportional to 3,656.79, 5,045.63 and 2,163.96 is: 2,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.79 : 5,045.63 = 2,163.96 : x
  2. Step 2: Convert to fraction form
    3,656.79/5,045.63 = 2,163.96/x
  3. Step 3: Cross multiply
    3,656.79x = 5,045.63 × 2,163.96
  4. Step 4: Simplify right side
    3,656.79x = 10,918,530.68
  5. Step 5: Solve for x
    x = 10,918,530.68/3,656.79
  6. Step 6: Final answer
    x = 2,985.82

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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.