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Finding the Fourth Proportional to 3,171.55, 4,738.97 and 2,289.87

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Solution

The fourth proportional to 3,171.55, 4,738.97 and 2,289.87 is: 3,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.55 : 4,738.97 = 2,289.87 : x
  2. Step 2: Convert to fraction form
    3,171.55/4,738.97 = 2,289.87/x
  3. Step 3: Cross multiply
    3,171.55x = 4,738.97 × 2,289.87
  4. Step 4: Simplify right side
    3,171.55x = 10,851,625.23
  5. Step 5: Solve for x
    x = 10,851,625.23/3,171.55
  6. Step 6: Final answer
    x = 3,421.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.