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Finding the Fourth Proportional to 3,640.14, 5,461.02 and 1,042.88

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Solution

The fourth proportional to 3,640.14, 5,461.02 and 1,042.88 is: 1,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.14 : 5,461.02 = 1,042.88 : x
  2. Step 2: Convert to fraction form
    3,640.14/5,461.02 = 1,042.88/x
  3. Step 3: Cross multiply
    3,640.14x = 5,461.02 × 1,042.88
  4. Step 4: Simplify right side
    3,640.14x = 5,695,161.23
  5. Step 5: Solve for x
    x = 5,695,161.23/3,640.14
  6. Step 6: Final answer
    x = 1,564.54

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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.