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Finding the Fourth Proportional to 5,731.80, 7,899.12 and 3,960.24

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Solution

The fourth proportional to 5,731.80, 7,899.12 and 3,960.24 is: 5,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.80 : 7,899.12 = 3,960.24 : x
  2. Step 2: Convert to fraction form
    5,731.80/7,899.12 = 3,960.24/x
  3. Step 3: Cross multiply
    5,731.80x = 7,899.12 × 3,960.24
  4. Step 4: Simplify right side
    5,731.80x = 31,282,410.99
  5. Step 5: Solve for x
    x = 31,282,410.99/5,731.80
  6. Step 6: Final answer
    x = 5,457.69

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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.