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Finding the Fourth Proportional to 3,158.33, 4,736.61 and 937.64

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Solution

The fourth proportional to 3,158.33, 4,736.61 and 937.64 is: 1,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.33 : 4,736.61 = 937.64 : x
  2. Step 2: Convert to fraction form
    3,158.33/4,736.61 = 937.64/x
  3. Step 3: Cross multiply
    3,158.33x = 4,736.61 × 937.64
  4. Step 4: Simplify right side
    3,158.33x = 4,441,246.84
  5. Step 5: Solve for x
    x = 4,441,246.84/3,158.33
  6. Step 6: Final answer
    x = 1,406.20

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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.