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Finding the Fourth Proportional to 3,874.08, 5,332.80 and 3,369.60

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Solution

The fourth proportional to 3,874.08, 5,332.80 and 3,369.60 is: 4,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.08 : 5,332.80 = 3,369.60 : x
  2. Step 2: Convert to fraction form
    3,874.08/5,332.80 = 3,369.60/x
  3. Step 3: Cross multiply
    3,874.08x = 5,332.80 × 3,369.60
  4. Step 4: Simplify right side
    3,874.08x = 17,969,402.88
  5. Step 5: Solve for x
    x = 17,969,402.88/3,874.08
  6. Step 6: Final answer
    x = 4,638.37

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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.