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Finding the Fourth Proportional to 5,114.69, 7,671.17 and 1,651.94

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Solution

The fourth proportional to 5,114.69, 7,671.17 and 1,651.94 is: 2,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.69 : 7,671.17 = 1,651.94 : x
  2. Step 2: Convert to fraction form
    5,114.69/7,671.17 = 1,651.94/x
  3. Step 3: Cross multiply
    5,114.69x = 7,671.17 × 1,651.94
  4. Step 4: Simplify right side
    5,114.69x = 12,672,304.31
  5. Step 5: Solve for x
    x = 12,672,304.31/5,114.69
  6. Step 6: Final answer
    x = 2,477.63

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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.