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Finding the Fourth Proportional to 3,865.50, 5,329.41 and 3,156.59

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Solution

The fourth proportional to 3,865.50, 5,329.41 and 3,156.59 is: 4,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.50 : 5,329.41 = 3,156.59 : x
  2. Step 2: Convert to fraction form
    3,865.50/5,329.41 = 3,156.59/x
  3. Step 3: Cross multiply
    3,865.50x = 5,329.41 × 3,156.59
  4. Step 4: Simplify right side
    3,865.50x = 16,822,763.80
  5. Step 5: Solve for x
    x = 16,822,763.80/3,865.50
  6. Step 6: Final answer
    x = 4,352.03

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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.