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Finding the Fourth Proportional to 4,921.86, 7,384.13 and 1,635.19

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Solution

The fourth proportional to 4,921.86, 7,384.13 and 1,635.19 is: 2,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.86 : 7,384.13 = 1,635.19 : x
  2. Step 2: Convert to fraction form
    4,921.86/7,384.13 = 1,635.19/x
  3. Step 3: Cross multiply
    4,921.86x = 7,384.13 × 1,635.19
  4. Step 4: Simplify right side
    4,921.86x = 12,074,435.03
  5. Step 5: Solve for x
    x = 12,074,435.03/4,921.86
  6. Step 6: Final answer
    x = 2,453.22

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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.