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Finding the Fourth Proportional to 5,634.64, 8,451.96 and 4,400.20

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Solution

The fourth proportional to 5,634.64, 8,451.96 and 4,400.20 is: 6,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.64 : 8,451.96 = 4,400.20 : x
  2. Step 2: Convert to fraction form
    5,634.64/8,451.96 = 4,400.20/x
  3. Step 3: Cross multiply
    5,634.64x = 8,451.96 × 4,400.20
  4. Step 4: Simplify right side
    5,634.64x = 37,190,314.39
  5. Step 5: Solve for x
    x = 37,190,314.39/5,634.64
  6. Step 6: Final answer
    x = 6,600.30

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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.