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Finding the Fourth Proportional to 4,735.28, 7,102.43 and 2,102.84

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Solution

The fourth proportional to 4,735.28, 7,102.43 and 2,102.84 is: 3,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.28 : 7,102.43 = 2,102.84 : x
  2. Step 2: Convert to fraction form
    4,735.28/7,102.43 = 2,102.84/x
  3. Step 3: Cross multiply
    4,735.28x = 7,102.43 × 2,102.84
  4. Step 4: Simplify right side
    4,735.28x = 14,935,227.87
  5. Step 5: Solve for x
    x = 14,935,227.87/4,735.28
  6. Step 6: Final answer
    x = 3,154.04

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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.