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Finding the Fourth Proportional to 4,129.40, 6,194.10 and 3,675.80

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Solution

The fourth proportional to 4,129.40, 6,194.10 and 3,675.80 is: 5,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.40 : 6,194.10 = 3,675.80 : x
  2. Step 2: Convert to fraction form
    4,129.40/6,194.10 = 3,675.80/x
  3. Step 3: Cross multiply
    4,129.40x = 6,194.10 × 3,675.80
  4. Step 4: Simplify right side
    4,129.40x = 22,768,272.78
  5. Step 5: Solve for x
    x = 22,768,272.78/4,129.40
  6. Step 6: Final answer
    x = 5,513.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.