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Finding the Fourth Proportional to 3,640.38, 5,460.78 and 1,043.25

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Solution

The fourth proportional to 3,640.38, 5,460.78 and 1,043.25 is: 1,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.38 : 5,460.78 = 1,043.25 : x
  2. Step 2: Convert to fraction form
    3,640.38/5,460.78 = 1,043.25/x
  3. Step 3: Cross multiply
    3,640.38x = 5,460.78 × 1,043.25
  4. Step 4: Simplify right side
    3,640.38x = 5,696,958.74
  5. Step 5: Solve for x
    x = 5,696,958.74/3,640.38
  6. Step 6: Final answer
    x = 1,564.94

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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.