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Finding the Fourth Proportional to 3,728.70, 5,592.69 and 955.26

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Solution

The fourth proportional to 3,728.70, 5,592.69 and 955.26 is: 1,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.70 : 5,592.69 = 955.26 : x
  2. Step 2: Convert to fraction form
    3,728.70/5,592.69 = 955.26/x
  3. Step 3: Cross multiply
    3,728.70x = 5,592.69 × 955.26
  4. Step 4: Simplify right side
    3,728.70x = 5,342,473.05
  5. Step 5: Solve for x
    x = 5,342,473.05/3,728.70
  6. Step 6: Final answer
    x = 1,432.80

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1.5x scale

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.