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Finding the Fourth Proportional to 4,940.40, 7,410.76 and 2,165.68

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Solution

The fourth proportional to 4,940.40, 7,410.76 and 2,165.68 is: 3,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.40 : 7,410.76 = 2,165.68 : x
  2. Step 2: Convert to fraction form
    4,940.40/7,410.76 = 2,165.68/x
  3. Step 3: Cross multiply
    4,940.40x = 7,410.76 × 2,165.68
  4. Step 4: Simplify right side
    4,940.40x = 16,049,334.72
  5. Step 5: Solve for x
    x = 16,049,334.72/4,940.40
  6. Step 6: Final answer
    x = 3,248.59

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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.