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Finding the Fourth Proportional to 4,828.38, 7,241.48 and 1,365.90

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Solution

The fourth proportional to 4,828.38, 7,241.48 and 1,365.90 is: 2,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.38 : 7,241.48 = 1,365.90 : x
  2. Step 2: Convert to fraction form
    4,828.38/7,241.48 = 1,365.90/x
  3. Step 3: Cross multiply
    4,828.38x = 7,241.48 × 1,365.90
  4. Step 4: Simplify right side
    4,828.38x = 9,891,137.53
  5. Step 5: Solve for x
    x = 9,891,137.53/4,828.38
  6. Step 6: Final answer
    x = 2,048.54

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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.