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Finding the Fourth Proportional to 5,792.52, 7,990.08 and 3,433

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Solution

The fourth proportional to 5,792.52, 7,990.08 and 3,433 is: 4,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.52 : 7,990.08 = 3,433 : x
  2. Step 2: Convert to fraction form
    5,792.52/7,990.08 = 3,433/x
  3. Step 3: Cross multiply
    5,792.52x = 7,990.08 × 3,433
  4. Step 4: Simplify right side
    5,792.52x = 27,429,944.64
  5. Step 5: Solve for x
    x = 27,429,944.64/5,792.52
  6. Step 6: Final answer
    x = 4,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.