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Finding the Fourth Proportional to 3,932.01, 5,898.86 and 1,591.99

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Solution

The fourth proportional to 3,932.01, 5,898.86 and 1,591.99 is: 2,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.01 : 5,898.86 = 1,591.99 : x
  2. Step 2: Convert to fraction form
    3,932.01/5,898.86 = 1,591.99/x
  3. Step 3: Cross multiply
    3,932.01x = 5,898.86 × 1,591.99
  4. Step 4: Simplify right side
    3,932.01x = 9,390,926.13
  5. Step 5: Solve for x
    x = 9,390,926.13/3,932.01
  6. Step 6: Final answer
    x = 2,388.33

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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.