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Finding the Fourth Proportional to 4,170.67, 6,256.30 and 3,438.02

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Solution

The fourth proportional to 4,170.67, 6,256.30 and 3,438.02 is: 5,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.67 : 6,256.30 = 3,438.02 : x
  2. Step 2: Convert to fraction form
    4,170.67/6,256.30 = 3,438.02/x
  3. Step 3: Cross multiply
    4,170.67x = 6,256.30 × 3,438.02
  4. Step 4: Simplify right side
    4,170.67x = 21,509,284.53
  5. Step 5: Solve for x
    x = 21,509,284.53/4,170.67
  6. Step 6: Final answer
    x = 5,157.27

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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.