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Finding the Fourth Proportional to 5,643.41, 7,786.85 and 3,125.43

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Solution

The fourth proportional to 5,643.41, 7,786.85 and 3,125.43 is: 4,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.41 : 7,786.85 = 3,125.43 : x
  2. Step 2: Convert to fraction form
    5,643.41/7,786.85 = 3,125.43/x
  3. Step 3: Cross multiply
    5,643.41x = 7,786.85 × 3,125.43
  4. Step 4: Simplify right side
    5,643.41x = 24,337,238.97
  5. Step 5: Solve for x
    x = 24,337,238.97/5,643.41
  6. Step 6: Final answer
    x = 4,312.51

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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.