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Finding the Fourth Proportional to 4,735.32, 7,103.88 and 2,138.25

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Solution

The fourth proportional to 4,735.32, 7,103.88 and 2,138.25 is: 3,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.32 : 7,103.88 = 2,138.25 : x
  2. Step 2: Convert to fraction form
    4,735.32/7,103.88 = 2,138.25/x
  3. Step 3: Cross multiply
    4,735.32x = 7,103.88 × 2,138.25
  4. Step 4: Simplify right side
    4,735.32x = 15,189,871.41
  5. Step 5: Solve for x
    x = 15,189,871.41/4,735.32
  6. Step 6: Final answer
    x = 3,207.78

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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.