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Finding the Fourth Proportional to 4,761.60, 7,136.88 and 1,986.72

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Solution

The fourth proportional to 4,761.60, 7,136.88 and 1,986.72 is: 2,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.60 : 7,136.88 = 1,986.72 : x
  2. Step 2: Convert to fraction form
    4,761.60/7,136.88 = 1,986.72/x
  3. Step 3: Cross multiply
    4,761.60x = 7,136.88 × 1,986.72
  4. Step 4: Simplify right side
    4,761.60x = 14,178,982.23
  5. Step 5: Solve for x
    x = 14,178,982.23/4,761.60
  6. Step 6: Final answer
    x = 2,977.78

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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.