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Finding the Fourth Proportional to 3,640.28, 5,459.40 and 1,042.52

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Solution

The fourth proportional to 3,640.28, 5,459.40 and 1,042.52 is: 1,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.28 : 5,459.40 = 1,042.52 : x
  2. Step 2: Convert to fraction form
    3,640.28/5,459.40 = 1,042.52/x
  3. Step 3: Cross multiply
    3,640.28x = 5,459.40 × 1,042.52
  4. Step 4: Simplify right side
    3,640.28x = 5,691,533.69
  5. Step 5: Solve for x
    x = 5,691,533.69/3,640.28
  6. Step 6: Final answer
    x = 1,563.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.