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Finding the Fourth Proportional to 5,596.90, 7,723.12 and 3,238.58

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Solution

The fourth proportional to 5,596.90, 7,723.12 and 3,238.58 is: 4,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.90 : 7,723.12 = 3,238.58 : x
  2. Step 2: Convert to fraction form
    5,596.90/7,723.12 = 3,238.58/x
  3. Step 3: Cross multiply
    5,596.90x = 7,723.12 × 3,238.58
  4. Step 4: Simplify right side
    5,596.90x = 25,011,941.97
  5. Step 5: Solve for x
    x = 25,011,941.97/5,596.90
  6. Step 6: Final answer
    x = 4,468.89

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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.