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Finding the Fourth Proportional to 5,241.32, 7,232.08 and 3,847.40

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Solution

The fourth proportional to 5,241.32, 7,232.08 and 3,847.40 is: 5,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.32 : 7,232.08 = 3,847.40 : x
  2. Step 2: Convert to fraction form
    5,241.32/7,232.08 = 3,847.40/x
  3. Step 3: Cross multiply
    5,241.32x = 7,232.08 × 3,847.40
  4. Step 4: Simplify right side
    5,241.32x = 27,824,704.59
  5. Step 5: Solve for x
    x = 27,824,704.59/5,241.32
  6. Step 6: Final answer
    x = 5,308.72

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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.