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Finding the Fourth Proportional to 3,695.14, 5,549.31 and 3,546.49

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Solution

The fourth proportional to 3,695.14, 5,549.31 and 3,546.49 is: 5,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.14 : 5,549.31 = 3,546.49 : x
  2. Step 2: Convert to fraction form
    3,695.14/5,549.31 = 3,546.49/x
  3. Step 3: Cross multiply
    3,695.14x = 5,549.31 × 3,546.49
  4. Step 4: Simplify right side
    3,695.14x = 19,680,579.36
  5. Step 5: Solve for x
    x = 19,680,579.36/3,695.14
  6. Step 6: Final answer
    x = 5,326.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.