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Finding the Fourth Proportional to 5,305.77, 7,323.30 and 3,513.69

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Solution

The fourth proportional to 5,305.77, 7,323.30 and 3,513.69 is: 4,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.77 : 7,323.30 = 3,513.69 : x
  2. Step 2: Convert to fraction form
    5,305.77/7,323.30 = 3,513.69/x
  3. Step 3: Cross multiply
    5,305.77x = 7,323.30 × 3,513.69
  4. Step 4: Simplify right side
    5,305.77x = 25,731,805.98
  5. Step 5: Solve for x
    x = 25,731,805.98/5,305.77
  6. Step 6: Final answer
    x = 4,849.78

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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.