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Finding the Fourth Proportional to 4,761.92, 7,143.36 and 1,989.46

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Solution

The fourth proportional to 4,761.92, 7,143.36 and 1,989.46 is: 2,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.92 : 7,143.36 = 1,989.46 : x
  2. Step 2: Convert to fraction form
    4,761.92/7,143.36 = 1,989.46/x
  3. Step 3: Cross multiply
    4,761.92x = 7,143.36 × 1,989.46
  4. Step 4: Simplify right side
    4,761.92x = 14,211,430.45
  5. Step 5: Solve for x
    x = 14,211,430.45/4,761.92
  6. Step 6: Final answer
    x = 2,984.39

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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.