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Finding the Fourth Proportional to 5,405.97, 7,458.84 and 3,634.50

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Solution

The fourth proportional to 5,405.97, 7,458.84 and 3,634.50 is: 5,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.97 : 7,458.84 = 3,634.50 : x
  2. Step 2: Convert to fraction form
    5,405.97/7,458.84 = 3,634.50/x
  3. Step 3: Cross multiply
    5,405.97x = 7,458.84 × 3,634.50
  4. Step 4: Simplify right side
    5,405.97x = 27,109,153.98
  5. Step 5: Solve for x
    x = 27,109,153.98/5,405.97
  6. Step 6: Final answer
    x = 5,014.67

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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.