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Finding the Fourth Proportional to 3,758.13, 5,182.56 and 3,388.97

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Solution

The fourth proportional to 3,758.13, 5,182.56 and 3,388.97 is: 4,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.13 : 5,182.56 = 3,388.97 : x
  2. Step 2: Convert to fraction form
    3,758.13/5,182.56 = 3,388.97/x
  3. Step 3: Cross multiply
    3,758.13x = 5,182.56 × 3,388.97
  4. Step 4: Simplify right side
    3,758.13x = 17,563,514.45
  5. Step 5: Solve for x
    x = 17,563,514.45/3,758.13
  6. Step 6: Final answer
    x = 4,673.47

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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.