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Finding the Fourth Proportional to 5,737.56, 8,606.34 and 2,274

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Solution

The fourth proportional to 5,737.56, 8,606.34 and 2,274 is: 3,411

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.56 : 8,606.34 = 2,274 : x
  2. Step 2: Convert to fraction form
    5,737.56/8,606.34 = 2,274/x
  3. Step 3: Cross multiply
    5,737.56x = 8,606.34 × 2,274
  4. Step 4: Simplify right side
    5,737.56x = 19,570,817.16
  5. Step 5: Solve for x
    x = 19,570,817.16/5,737.56
  6. Step 6: Final answer
    x = 3,411

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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.