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Finding the Fourth Proportional to 3,762.48, 5,194.28 and 2,270.76

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Solution

The fourth proportional to 3,762.48, 5,194.28 and 2,270.76 is: 3,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.48 : 5,194.28 = 2,270.76 : x
  2. Step 2: Convert to fraction form
    3,762.48/5,194.28 = 2,270.76/x
  3. Step 3: Cross multiply
    3,762.48x = 5,194.28 × 2,270.76
  4. Step 4: Simplify right side
    3,762.48x = 11,794,963.25
  5. Step 5: Solve for x
    x = 11,794,963.25/3,762.48
  6. Step 6: Final answer
    x = 3,134.89

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