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Finding the Fourth Proportional to 5,202.32, 7,181.64 and 3,943.60

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Solution

The fourth proportional to 5,202.32, 7,181.64 and 3,943.60 is: 5,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.32 : 7,181.64 = 3,943.60 : x
  2. Step 2: Convert to fraction form
    5,202.32/7,181.64 = 3,943.60/x
  3. Step 3: Cross multiply
    5,202.32x = 7,181.64 × 3,943.60
  4. Step 4: Simplify right side
    5,202.32x = 28,321,515.50
  5. Step 5: Solve for x
    x = 28,321,515.50/5,202.32
  6. Step 6: Final answer
    x = 5,444.02

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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.