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Finding the Fourth Proportional to 4,920.41, 7,381.04 and 1,410.43

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Solution

The fourth proportional to 4,920.41, 7,381.04 and 1,410.43 is: 2,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.41 : 7,381.04 = 1,410.43 : x
  2. Step 2: Convert to fraction form
    4,920.41/7,381.04 = 1,410.43/x
  3. Step 3: Cross multiply
    4,920.41x = 7,381.04 × 1,410.43
  4. Step 4: Simplify right side
    4,920.41x = 10,410,440.25
  5. Step 5: Solve for x
    x = 10,410,440.25/4,920.41
  6. Step 6: Final answer
    x = 2,115.77

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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.