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Finding the Fourth Proportional to 4,433.76, 6,638.76 and 3,474.30

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Solution

The fourth proportional to 4,433.76, 6,638.76 and 3,474.30 is: 5,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.76 : 6,638.76 = 3,474.30 : x
  2. Step 2: Convert to fraction form
    4,433.76/6,638.76 = 3,474.30/x
  3. Step 3: Cross multiply
    4,433.76x = 6,638.76 × 3,474.30
  4. Step 4: Simplify right side
    4,433.76x = 23,065,043.87
  5. Step 5: Solve for x
    x = 23,065,043.87/4,433.76
  6. Step 6: Final answer
    x = 5,202.14

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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.