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Finding the Fourth Proportional to 4,369.68, 6,554.52 and 1,596.42

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Solution

The fourth proportional to 4,369.68, 6,554.52 and 1,596.42 is: 2,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.68 : 6,554.52 = 1,596.42 : x
  2. Step 2: Convert to fraction form
    4,369.68/6,554.52 = 1,596.42/x
  3. Step 3: Cross multiply
    4,369.68x = 6,554.52 × 1,596.42
  4. Step 4: Simplify right side
    4,369.68x = 10,463,766.82
  5. Step 5: Solve for x
    x = 10,463,766.82/4,369.68
  6. Step 6: Final answer
    x = 2,394.63

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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.