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Finding the Fourth Proportional to 5,912.28, 8,871.87 and 3,282

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Solution

The fourth proportional to 5,912.28, 8,871.87 and 3,282 is: 4,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.28 : 8,871.87 = 3,282 : x
  2. Step 2: Convert to fraction form
    5,912.28/8,871.87 = 3,282/x
  3. Step 3: Cross multiply
    5,912.28x = 8,871.87 × 3,282
  4. Step 4: Simplify right side
    5,912.28x = 29,117,477.34
  5. Step 5: Solve for x
    x = 29,117,477.34/5,912.28
  6. Step 6: Final answer
    x = 4,924.92

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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.