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Finding the Fourth Proportional to 6,400.08, 9,600.03 and 1,719.95

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Solution

The fourth proportional to 6,400.08, 9,600.03 and 1,719.95 is: 2,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.08 : 9,600.03 = 1,719.95 : x
  2. Step 2: Convert to fraction form
    6,400.08/9,600.03 = 1,719.95/x
  3. Step 3: Cross multiply
    6,400.08x = 9,600.03 × 1,719.95
  4. Step 4: Simplify right side
    6,400.08x = 16,511,523.60
  5. Step 5: Solve for x
    x = 16,511,523.60/6,400.08
  6. Step 6: Final answer
    x = 2,579.89

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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.