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Finding the Fourth Proportional to 3,768.40, 5,646.20 and 3,115.60

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Solution

The fourth proportional to 3,768.40, 5,646.20 and 3,115.60 is: 4,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.40 : 5,646.20 = 3,115.60 : x
  2. Step 2: Convert to fraction form
    3,768.40/5,646.20 = 3,115.60/x
  3. Step 3: Cross multiply
    3,768.40x = 5,646.20 × 3,115.60
  4. Step 4: Simplify right side
    3,768.40x = 17,591,300.72
  5. Step 5: Solve for x
    x = 17,591,300.72/3,768.40
  6. Step 6: Final answer
    x = 4,668.11

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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.