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Finding the Fourth Proportional to 4,926.44, 7,381.44 and 3,462.98

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Solution

The fourth proportional to 4,926.44, 7,381.44 and 3,462.98 is: 5,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.44 : 7,381.44 = 3,462.98 : x
  2. Step 2: Convert to fraction form
    4,926.44/7,381.44 = 3,462.98/x
  3. Step 3: Cross multiply
    4,926.44x = 7,381.44 × 3,462.98
  4. Step 4: Simplify right side
    4,926.44x = 25,561,742.18
  5. Step 5: Solve for x
    x = 25,561,742.18/4,926.44
  6. Step 6: Final answer
    x = 5,188.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.