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Finding the Fourth Proportional to 3,440.76, 4,745.82 and 2,115.21

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Solution

The fourth proportional to 3,440.76, 4,745.82 and 2,115.21 is: 2,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.76 : 4,745.82 = 2,115.21 : x
  2. Step 2: Convert to fraction form
    3,440.76/4,745.82 = 2,115.21/x
  3. Step 3: Cross multiply
    3,440.76x = 4,745.82 × 2,115.21
  4. Step 4: Simplify right side
    3,440.76x = 10,038,405.92
  5. Step 5: Solve for x
    x = 10,038,405.92/3,440.76
  6. Step 6: Final answer
    x = 2,917.50

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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.