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Finding the Fourth Proportional to 3,722.53, 5,586.11 and 3,440.12

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Solution

The fourth proportional to 3,722.53, 5,586.11 and 3,440.12 is: 5,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.53 : 5,586.11 = 3,440.12 : x
  2. Step 2: Convert to fraction form
    3,722.53/5,586.11 = 3,440.12/x
  3. Step 3: Cross multiply
    3,722.53x = 5,586.11 × 3,440.12
  4. Step 4: Simplify right side
    3,722.53x = 19,216,907.28
  5. Step 5: Solve for x
    x = 19,216,907.28/3,722.53
  6. Step 6: Final answer
    x = 5,162.32

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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.