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Finding the Fourth Proportional to 4,862.34, 7,255.56 and 4,338.73

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Solution

The fourth proportional to 4,862.34, 7,255.56 and 4,338.73 is: 6,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.34 : 7,255.56 = 4,338.73 : x
  2. Step 2: Convert to fraction form
    4,862.34/7,255.56 = 4,338.73/x
  3. Step 3: Cross multiply
    4,862.34x = 7,255.56 × 4,338.73
  4. Step 4: Simplify right side
    4,862.34x = 31,479,915.84
  5. Step 5: Solve for x
    x = 31,479,915.84/4,862.34
  6. Step 6: Final answer
    x = 6,474.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.