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Finding the Fourth Proportional to 3,727.56, 5,591.33 and 954.23

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Solution

The fourth proportional to 3,727.56, 5,591.33 and 954.23 is: 1,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.56 : 5,591.33 = 954.23 : x
  2. Step 2: Convert to fraction form
    3,727.56/5,591.33 = 954.23/x
  3. Step 3: Cross multiply
    3,727.56x = 5,591.33 × 954.23
  4. Step 4: Simplify right side
    3,727.56x = 5,335,417.13
  5. Step 5: Solve for x
    x = 5,335,417.13/3,727.56
  6. Step 6: Final answer
    x = 1,431.34

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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.