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Finding the Fourth Proportional to 4,760.96, 7,139.60 and 1,988.94

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Solution

The fourth proportional to 4,760.96, 7,139.60 and 1,988.94 is: 2,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.96 : 7,139.60 = 1,988.94 : x
  2. Step 2: Convert to fraction form
    4,760.96/7,139.60 = 1,988.94/x
  3. Step 3: Cross multiply
    4,760.96x = 7,139.60 × 1,988.94
  4. Step 4: Simplify right side
    4,760.96x = 14,200,236.02
  5. Step 5: Solve for x
    x = 14,200,236.02/4,760.96
  6. Step 6: Final answer
    x = 2,982.64

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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.