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Finding the Fourth Proportional to 5,871.46, 8,102.60 and 3,513.60

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Solution

The fourth proportional to 5,871.46, 8,102.60 and 3,513.60 is: 4,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.46 : 8,102.60 = 3,513.60 : x
  2. Step 2: Convert to fraction form
    5,871.46/8,102.60 = 3,513.60/x
  3. Step 3: Cross multiply
    5,871.46x = 8,102.60 × 3,513.60
  4. Step 4: Simplify right side
    5,871.46x = 28,469,295.36
  5. Step 5: Solve for x
    x = 28,469,295.36/5,871.46
  6. Step 6: Final answer
    x = 4,848.76

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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.