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Finding the Fourth Proportional to 6,493.20, 8,960.04 and 3,840.60

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Solution

The fourth proportional to 6,493.20, 8,960.04 and 3,840.60 is: 5,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.20 : 8,960.04 = 3,840.60 : x
  2. Step 2: Convert to fraction form
    6,493.20/8,960.04 = 3,840.60/x
  3. Step 3: Cross multiply
    6,493.20x = 8,960.04 × 3,840.60
  4. Step 4: Simplify right side
    6,493.20x = 34,411,929.62
  5. Step 5: Solve for x
    x = 34,411,929.62/6,493.20
  6. Step 6: Final answer
    x = 5,299.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.