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Finding the Fourth Proportional to 3,273.60, 4,899.60 and 2,539.20

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Solution

The fourth proportional to 3,273.60, 4,899.60 and 2,539.20 is: 3,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.60 : 4,899.60 = 2,539.20 : x
  2. Step 2: Convert to fraction form
    3,273.60/4,899.60 = 2,539.20/x
  3. Step 3: Cross multiply
    3,273.60x = 4,899.60 × 2,539.20
  4. Step 4: Simplify right side
    3,273.60x = 12,441,064.32
  5. Step 5: Solve for x
    x = 12,441,064.32/3,273.60
  6. Step 6: Final answer
    x = 3,800.42

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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.