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Finding the Fourth Proportional to 4,109.50, 5,674.07 and 3,710.37

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Solution

The fourth proportional to 4,109.50, 5,674.07 and 3,710.37 is: 5,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.50 : 5,674.07 = 3,710.37 : x
  2. Step 2: Convert to fraction form
    4,109.50/5,674.07 = 3,710.37/x
  3. Step 3: Cross multiply
    4,109.50x = 5,674.07 × 3,710.37
  4. Step 4: Simplify right side
    4,109.50x = 21,052,880.55
  5. Step 5: Solve for x
    x = 21,052,880.55/4,109.50
  6. Step 6: Final answer
    x = 5,122.98

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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.