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Finding the Fourth Proportional to 5,222.58, 7,833.83 and 4,189.07

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Solution

The fourth proportional to 5,222.58, 7,833.83 and 4,189.07 is: 6,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.58 : 7,833.83 = 4,189.07 : x
  2. Step 2: Convert to fraction form
    5,222.58/7,833.83 = 4,189.07/x
  3. Step 3: Cross multiply
    5,222.58x = 7,833.83 × 4,189.07
  4. Step 4: Simplify right side
    5,222.58x = 32,816,402.12
  5. Step 5: Solve for x
    x = 32,816,402.12/5,222.58
  6. Step 6: Final answer
    x = 6,283.56

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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.