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Finding the Fourth Proportional to 3,796.38, 5,237.16 and 2,955.60

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Solution

The fourth proportional to 3,796.38, 5,237.16 and 2,955.60 is: 4,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.38 : 5,237.16 = 2,955.60 : x
  2. Step 2: Convert to fraction form
    3,796.38/5,237.16 = 2,955.60/x
  3. Step 3: Cross multiply
    3,796.38x = 5,237.16 × 2,955.60
  4. Step 4: Simplify right side
    3,796.38x = 15,478,950.10
  5. Step 5: Solve for x
    x = 15,478,950.10/3,796.38
  6. Step 6: Final answer
    x = 4,077.29

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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.