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Finding the Fourth Proportional to 5,646.66, 7,790.49 and 3,286.86

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Solution

The fourth proportional to 5,646.66, 7,790.49 and 3,286.86 is: 4,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.66 : 7,790.49 = 3,286.86 : x
  2. Step 2: Convert to fraction form
    5,646.66/7,790.49 = 3,286.86/x
  3. Step 3: Cross multiply
    5,646.66x = 7,790.49 × 3,286.86
  4. Step 4: Simplify right side
    5,646.66x = 25,606,249.96
  5. Step 5: Solve for x
    x = 25,606,249.96/5,646.66
  6. Step 6: Final answer
    x = 4,534.76

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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.