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Finding the Fourth Proportional to 8,580.87, 12,871.44 and 3,318.30

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Solution

The fourth proportional to 8,580.87, 12,871.44 and 3,318.30 is: 4,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.87 : 12,871.44 = 3,318.30 : x
  2. Step 2: Convert to fraction form
    8,580.87/12,871.44 = 3,318.30/x
  3. Step 3: Cross multiply
    8,580.87x = 12,871.44 × 3,318.30
  4. Step 4: Simplify right side
    8,580.87x = 42,711,299.35
  5. Step 5: Solve for x
    x = 42,711,299.35/8,580.87
  6. Step 6: Final answer
    x = 4,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.