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Finding the Fourth Proportional to 3,931.86, 5,425.86 and 2,163.47

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Solution

The fourth proportional to 3,931.86, 5,425.86 and 2,163.47 is: 2,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.86 : 5,425.86 = 2,163.47 : x
  2. Step 2: Convert to fraction form
    3,931.86/5,425.86 = 2,163.47/x
  3. Step 3: Cross multiply
    3,931.86x = 5,425.86 × 2,163.47
  4. Step 4: Simplify right side
    3,931.86x = 11,738,685.33
  5. Step 5: Solve for x
    x = 11,738,685.33/3,931.86
  6. Step 6: Final answer
    x = 2,985.53

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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.