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Finding the Fourth Proportional to 5,733.78, 7,914.29 and 3,744.63

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Solution

The fourth proportional to 5,733.78, 7,914.29 and 3,744.63 is: 5,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.78 : 7,914.29 = 3,744.63 : x
  2. Step 2: Convert to fraction form
    5,733.78/7,914.29 = 3,744.63/x
  3. Step 3: Cross multiply
    5,733.78x = 7,914.29 × 3,744.63
  4. Step 4: Simplify right side
    5,733.78x = 29,636,087.76
  5. Step 5: Solve for x
    x = 29,636,087.76/5,733.78
  6. Step 6: Final answer
    x = 5,168.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.