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Finding the Fourth Proportional to 5,732.96, 7,859.96 and 5,629.28

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Solution

The fourth proportional to 5,732.96, 7,859.96 and 5,629.28 is: 7,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.96 : 7,859.96 = 5,629.28 : x
  2. Step 2: Convert to fraction form
    5,732.96/7,859.96 = 5,629.28/x
  3. Step 3: Cross multiply
    5,732.96x = 7,859.96 × 5,629.28
  4. Step 4: Simplify right side
    5,732.96x = 44,245,915.63
  5. Step 5: Solve for x
    x = 44,245,915.63/5,732.96
  6. Step 6: Final answer
    x = 7,717.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.