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Finding the Fourth Proportional to 3,133.01, 4,700.75 and 1,285.01

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Solution

The fourth proportional to 3,133.01, 4,700.75 and 1,285.01 is: 1,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.01 : 4,700.75 = 1,285.01 : x
  2. Step 2: Convert to fraction form
    3,133.01/4,700.75 = 1,285.01/x
  3. Step 3: Cross multiply
    3,133.01x = 4,700.75 × 1,285.01
  4. Step 4: Simplify right side
    3,133.01x = 6,040,504.33
  5. Step 5: Solve for x
    x = 6,040,504.33/3,133.01
  6. Step 6: Final answer
    x = 1,928.02

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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.