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Finding the Fourth Proportional to 5,728.70, 7,897.29 and 4,732.22

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Solution

The fourth proportional to 5,728.70, 7,897.29 and 4,732.22 is: 6,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.70 : 7,897.29 = 4,732.22 : x
  2. Step 2: Convert to fraction form
    5,728.70/7,897.29 = 4,732.22/x
  3. Step 3: Cross multiply
    5,728.70x = 7,897.29 × 4,732.22
  4. Step 4: Simplify right side
    5,728.70x = 37,371,713.68
  5. Step 5: Solve for x
    x = 37,371,713.68/5,728.70
  6. Step 6: Final answer
    x = 6,523.59

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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.