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Finding the Fourth Proportional to 5,249.30, 7,868.07 and 2,646.77

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Solution

The fourth proportional to 5,249.30, 7,868.07 and 2,646.77 is: 3,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.30 : 7,868.07 = 2,646.77 : x
  2. Step 2: Convert to fraction form
    5,249.30/7,868.07 = 2,646.77/x
  3. Step 3: Cross multiply
    5,249.30x = 7,868.07 × 2,646.77
  4. Step 4: Simplify right side
    5,249.30x = 20,824,932.29
  5. Step 5: Solve for x
    x = 20,824,932.29/5,249.30
  6. Step 6: Final answer
    x = 3,967.19

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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.