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Finding the Fourth Proportional to 4,409.56, 6,086.16 and 3,450.57

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Solution

The fourth proportional to 4,409.56, 6,086.16 and 3,450.57 is: 4,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.56 : 6,086.16 = 3,450.57 : x
  2. Step 2: Convert to fraction form
    4,409.56/6,086.16 = 3,450.57/x
  3. Step 3: Cross multiply
    4,409.56x = 6,086.16 × 3,450.57
  4. Step 4: Simplify right side
    4,409.56x = 21,000,721.11
  5. Step 5: Solve for x
    x = 21,000,721.11/4,409.56
  6. Step 6: Final answer
    x = 4,762.54

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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.