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Finding the Fourth Proportional to 5,589.52, 7,713.56 and 3,494.84

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Solution

The fourth proportional to 5,589.52, 7,713.56 and 3,494.84 is: 4,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.52 : 7,713.56 = 3,494.84 : x
  2. Step 2: Convert to fraction form
    5,589.52/7,713.56 = 3,494.84/x
  3. Step 3: Cross multiply
    5,589.52x = 7,713.56 × 3,494.84
  4. Step 4: Simplify right side
    5,589.52x = 26,957,658.03
  5. Step 5: Solve for x
    x = 26,957,658.03/5,589.52
  6. Step 6: Final answer
    x = 4,822.89

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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.