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Finding the Fourth Proportional to 5,161.14, 7,742.96 and 1,651.14

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Solution

The fourth proportional to 5,161.14, 7,742.96 and 1,651.14 is: 2,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.14 : 7,742.96 = 1,651.14 : x
  2. Step 2: Convert to fraction form
    5,161.14/7,742.96 = 1,651.14/x
  3. Step 3: Cross multiply
    5,161.14x = 7,742.96 × 1,651.14
  4. Step 4: Simplify right side
    5,161.14x = 12,784,710.97
  5. Step 5: Solve for x
    x = 12,784,710.97/5,161.14
  6. Step 6: Final answer
    x = 2,477.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.