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Finding the Fourth Proportional to 3,695.56, 5,549.93 and 3,546.90

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Solution

The fourth proportional to 3,695.56, 5,549.93 and 3,546.90 is: 5,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.56 : 5,549.93 = 3,546.90 : x
  2. Step 2: Convert to fraction form
    3,695.56/5,549.93 = 3,546.90/x
  3. Step 3: Cross multiply
    3,695.56x = 5,549.93 × 3,546.90
  4. Step 4: Simplify right side
    3,695.56x = 19,685,046.72
  5. Step 5: Solve for x
    x = 19,685,046.72/3,695.56
  6. Step 6: Final answer
    x = 5,326.67

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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.