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Finding the Fourth Proportional to 4,735.80, 7,105.28 and 2,102.98

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Solution

The fourth proportional to 4,735.80, 7,105.28 and 2,102.98 is: 3,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.80 : 7,105.28 = 2,102.98 : x
  2. Step 2: Convert to fraction form
    4,735.80/7,105.28 = 2,102.98/x
  3. Step 3: Cross multiply
    4,735.80x = 7,105.28 × 2,102.98
  4. Step 4: Simplify right side
    4,735.80x = 14,942,261.73
  5. Step 5: Solve for x
    x = 14,942,261.73/4,735.80
  6. Step 6: Final answer
    x = 3,155.17

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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.