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Finding the Fourth Proportional to 5,782.88, 7,979.77 and 3,265.13

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Solution

The fourth proportional to 5,782.88, 7,979.77 and 3,265.13 is: 4,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 7,979.77 = 3,265.13 : x
  2. Step 2: Convert to fraction form
    5,782.88/7,979.77 = 3,265.13/x
  3. Step 3: Cross multiply
    5,782.88x = 7,979.77 × 3,265.13
  4. Step 4: Simplify right side
    5,782.88x = 26,054,986.42
  5. Step 5: Solve for x
    x = 26,054,986.42/5,782.88
  6. Step 6: Final answer
    x = 4,505.54

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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.