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Finding the Fourth Proportional to 6,480.54, 8,942.65 and 3,827.45

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Solution

The fourth proportional to 6,480.54, 8,942.65 and 3,827.45 is: 5,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.54 : 8,942.65 = 3,827.45 : x
  2. Step 2: Convert to fraction form
    6,480.54/8,942.65 = 3,827.45/x
  3. Step 3: Cross multiply
    6,480.54x = 8,942.65 × 3,827.45
  4. Step 4: Simplify right side
    6,480.54x = 34,227,558.53
  5. Step 5: Solve for x
    x = 34,227,558.53/6,480.54
  6. Step 6: Final answer
    x = 5,281.59

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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.