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Finding the Fourth Proportional to 4,838.42, 7,266.26 and 3,962.58

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Solution

The fourth proportional to 4,838.42, 7,266.26 and 3,962.58 is: 5,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.42 : 7,266.26 = 3,962.58 : x
  2. Step 2: Convert to fraction form
    4,838.42/7,266.26 = 3,962.58/x
  3. Step 3: Cross multiply
    4,838.42x = 7,266.26 × 3,962.58
  4. Step 4: Simplify right side
    4,838.42x = 28,793,136.55
  5. Step 5: Solve for x
    x = 28,793,136.55/4,838.42
  6. Step 6: Final answer
    x = 5,950.94

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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.