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Finding the Fourth Proportional to 4,940.46, 7,411.23 and 4,023.81

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Solution

The fourth proportional to 4,940.46, 7,411.23 and 4,023.81 is: 6,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.46 : 7,411.23 = 4,023.81 : x
  2. Step 2: Convert to fraction form
    4,940.46/7,411.23 = 4,023.81/x
  3. Step 3: Cross multiply
    4,940.46x = 7,411.23 × 4,023.81
  4. Step 4: Simplify right side
    4,940.46x = 29,821,381.39
  5. Step 5: Solve for x
    x = 29,821,381.39/4,940.46
  6. Step 6: Final answer
    x = 6,036.15

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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.