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Finding the Fourth Proportional to 5,086.63, 7,630.41 and 1,576.66

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Solution

The fourth proportional to 5,086.63, 7,630.41 and 1,576.66 is: 2,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.63 : 7,630.41 = 1,576.66 : x
  2. Step 2: Convert to fraction form
    5,086.63/7,630.41 = 1,576.66/x
  3. Step 3: Cross multiply
    5,086.63x = 7,630.41 × 1,576.66
  4. Step 4: Simplify right side
    5,086.63x = 12,030,558.94
  5. Step 5: Solve for x
    x = 12,030,558.94/5,086.63
  6. Step 6: Final answer
    x = 2,365.14

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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.