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Finding the Fourth Proportional to 3,640.56, 5,461.02 and 1,043.56

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Solution

The fourth proportional to 3,640.56, 5,461.02 and 1,043.56 is: 1,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.56 : 5,461.02 = 1,043.56 : x
  2. Step 2: Convert to fraction form
    3,640.56/5,461.02 = 1,043.56/x
  3. Step 3: Cross multiply
    3,640.56x = 5,461.02 × 1,043.56
  4. Step 4: Simplify right side
    3,640.56x = 5,698,902.03
  5. Step 5: Solve for x
    x = 5,698,902.03/3,640.56
  6. Step 6: Final answer
    x = 1,565.39

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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.