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Finding the Fourth Proportional to 3,541.07, 5,311.80 and 1,352.45

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Solution

The fourth proportional to 3,541.07, 5,311.80 and 1,352.45 is: 2,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.07 : 5,311.80 = 1,352.45 : x
  2. Step 2: Convert to fraction form
    3,541.07/5,311.80 = 1,352.45/x
  3. Step 3: Cross multiply
    3,541.07x = 5,311.80 × 1,352.45
  4. Step 4: Simplify right side
    3,541.07x = 7,183,917.35
  5. Step 5: Solve for x
    x = 7,183,917.35/3,541.07
  6. Step 6: Final answer
    x = 2,028.74

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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.