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Finding the Fourth Proportional to 4,286.76, 6,415.52 and 3,735.96

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Solution

The fourth proportional to 4,286.76, 6,415.52 and 3,735.96 is: 5,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.76 : 6,415.52 = 3,735.96 : x
  2. Step 2: Convert to fraction form
    4,286.76/6,415.52 = 3,735.96/x
  3. Step 3: Cross multiply
    4,286.76x = 6,415.52 × 3,735.96
  4. Step 4: Simplify right side
    4,286.76x = 23,968,126.10
  5. Step 5: Solve for x
    x = 23,968,126.10/4,286.76
  6. Step 6: Final answer
    x = 5,591.20

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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.