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Finding the Fourth Proportional to 4,862.24, 7,284.96 and 3,828.84

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Solution

The fourth proportional to 4,862.24, 7,284.96 and 3,828.84 is: 5,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.24 : 7,284.96 = 3,828.84 : x
  2. Step 2: Convert to fraction form
    4,862.24/7,284.96 = 3,828.84/x
  3. Step 3: Cross multiply
    4,862.24x = 7,284.96 × 3,828.84
  4. Step 4: Simplify right side
    4,862.24x = 27,892,946.25
  5. Step 5: Solve for x
    x = 27,892,946.25/4,862.24
  6. Step 6: Final answer
    x = 5,736.65

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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.