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Finding the Fourth Proportional to 4,232.40, 6,348.60 and 3,720.40

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Solution

The fourth proportional to 4,232.40, 6,348.60 and 3,720.40 is: 5,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.40 : 6,348.60 = 3,720.40 : x
  2. Step 2: Convert to fraction form
    4,232.40/6,348.60 = 3,720.40/x
  3. Step 3: Cross multiply
    4,232.40x = 6,348.60 × 3,720.40
  4. Step 4: Simplify right side
    4,232.40x = 23,619,331.44
  5. Step 5: Solve for x
    x = 23,619,331.44/4,232.40
  6. Step 6: Final answer
    x = 5,580.60

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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.