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Finding the Fourth Proportional to 5,151.96, 7,727.90 and 1,642.34

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Solution

The fourth proportional to 5,151.96, 7,727.90 and 1,642.34 is: 2,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.96 : 7,727.90 = 1,642.34 : x
  2. Step 2: Convert to fraction form
    5,151.96/7,727.90 = 1,642.34/x
  3. Step 3: Cross multiply
    5,151.96x = 7,727.90 × 1,642.34
  4. Step 4: Simplify right side
    5,151.96x = 12,691,792.43
  5. Step 5: Solve for x
    x = 12,691,792.43/5,151.96
  6. Step 6: Final answer
    x = 2,463.49

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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.