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Finding the Fourth Proportional to 5,470.56, 8,201.72 and 2,835.24

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Solution

The fourth proportional to 5,470.56, 8,201.72 and 2,835.24 is: 4,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.56 : 8,201.72 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    5,470.56/8,201.72 = 2,835.24/x
  3. Step 3: Cross multiply
    5,470.56x = 8,201.72 × 2,835.24
  4. Step 4: Simplify right side
    5,470.56x = 23,253,844.61
  5. Step 5: Solve for x
    x = 23,253,844.61/5,470.56
  6. Step 6: Final answer
    x = 4,250.72

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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.