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Finding the Fourth Proportional to 5,161.93, 7,743.41 and 1,651.06

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Solution

The fourth proportional to 5,161.93, 7,743.41 and 1,651.06 is: 2,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.93 : 7,743.41 = 1,651.06 : x
  2. Step 2: Convert to fraction form
    5,161.93/7,743.41 = 1,651.06/x
  3. Step 3: Cross multiply
    5,161.93x = 7,743.41 × 1,651.06
  4. Step 4: Simplify right side
    5,161.93x = 12,784,807.86
  5. Step 5: Solve for x
    x = 12,784,807.86/5,161.93
  6. Step 6: Final answer
    x = 2,476.75

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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.