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Finding the Fourth Proportional to 4,838.73, 7,258.86 and 2,065.41

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Solution

The fourth proportional to 4,838.73, 7,258.86 and 2,065.41 is: 3,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.73 : 7,258.86 = 2,065.41 : x
  2. Step 2: Convert to fraction form
    4,838.73/7,258.86 = 2,065.41/x
  3. Step 3: Cross multiply
    4,838.73x = 7,258.86 × 2,065.41
  4. Step 4: Simplify right side
    4,838.73x = 14,992,522.03
  5. Step 5: Solve for x
    x = 14,992,522.03/4,838.73
  6. Step 6: Final answer
    x = 3,098.44

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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.