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Finding the Fourth Proportional to 6,456.40, 9,684.60 and 2,560.30

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Solution

The fourth proportional to 6,456.40, 9,684.60 and 2,560.30 is: 3,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.40 : 9,684.60 = 2,560.30 : x
  2. Step 2: Convert to fraction form
    6,456.40/9,684.60 = 2,560.30/x
  3. Step 3: Cross multiply
    6,456.40x = 9,684.60 × 2,560.30
  4. Step 4: Simplify right side
    6,456.40x = 24,795,481.38
  5. Step 5: Solve for x
    x = 24,795,481.38/6,456.40
  6. Step 6: Final answer
    x = 3,840.45

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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.