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Finding the Fourth Proportional to 3,842.44, 5,300.63 and 2,248.04

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Solution

The fourth proportional to 3,842.44, 5,300.63 and 2,248.04 is: 3,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,300.63 = 2,248.04 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,300.63 = 2,248.04/x
  3. Step 3: Cross multiply
    3,842.44x = 5,300.63 × 2,248.04
  4. Step 4: Simplify right side
    3,842.44x = 11,916,028.27
  5. Step 5: Solve for x
    x = 11,916,028.27/3,842.44
  6. Step 6: Final answer
    x = 3,101.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.