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Finding the Fourth Proportional to 3,728.14, 5,592.10 and 954.82

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Solution

The fourth proportional to 3,728.14, 5,592.10 and 954.82 is: 1,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.14 : 5,592.10 = 954.82 : x
  2. Step 2: Convert to fraction form
    3,728.14/5,592.10 = 954.82/x
  3. Step 3: Cross multiply
    3,728.14x = 5,592.10 × 954.82
  4. Step 4: Simplify right side
    3,728.14x = 5,339,448.92
  5. Step 5: Solve for x
    x = 5,339,448.92/3,728.14
  6. Step 6: Final answer
    x = 1,432.20

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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.