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Finding the Fourth Proportional to 3,837.20, 5,365.60 and 3,837.20

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Solution

The fourth proportional to 3,837.20, 5,365.60 and 3,837.20 is: 5,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.20 : 5,365.60 = 3,837.20 : x
  2. Step 2: Convert to fraction form
    3,837.20/5,365.60 = 3,837.20/x
  3. Step 3: Cross multiply
    3,837.20x = 5,365.60 × 3,837.20
  4. Step 4: Simplify right side
    3,837.20x = 20,588,880.32
  5. Step 5: Solve for x
    x = 20,588,880.32/3,837.20
  6. Step 6: Final answer
    x = 5,365.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.