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Finding the Fourth Proportional to 5,892.53, 8,130.75 and 3,769.95

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Solution

The fourth proportional to 5,892.53, 8,130.75 and 3,769.95 is: 5,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.53 : 8,130.75 = 3,769.95 : x
  2. Step 2: Convert to fraction form
    5,892.53/8,130.75 = 3,769.95/x
  3. Step 3: Cross multiply
    5,892.53x = 8,130.75 × 3,769.95
  4. Step 4: Simplify right side
    5,892.53x = 30,652,480.31
  5. Step 5: Solve for x
    x = 30,652,480.31/5,892.53
  6. Step 6: Final answer
    x = 5,201.92

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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.