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Finding the Fourth Proportional to 5,537, 8,305.98 and 1,433

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Solution

The fourth proportional to 5,537, 8,305.98 and 1,433 is: 2,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537 : 8,305.98 = 1,433 : x
  2. Step 2: Convert to fraction form
    5,537/8,305.98 = 1,433/x
  3. Step 3: Cross multiply
    5,537x = 8,305.98 × 1,433
  4. Step 4: Simplify right side
    5,537x = 11,902,469.34
  5. Step 5: Solve for x
    x = 11,902,469.34/5,537
  6. Step 6: Final answer
    x = 2,149.62

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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.