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Finding the Fourth Proportional to 5,900.99, 8,839.67 and 3,813.75

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Solution

The fourth proportional to 5,900.99, 8,839.67 and 3,813.75 is: 5,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.99 : 8,839.67 = 3,813.75 : x
  2. Step 2: Convert to fraction form
    5,900.99/8,839.67 = 3,813.75/x
  3. Step 3: Cross multiply
    5,900.99x = 8,839.67 × 3,813.75
  4. Step 4: Simplify right side
    5,900.99x = 33,712,272.39
  5. Step 5: Solve for x
    x = 33,712,272.39/5,900.99
  6. Step 6: Final answer
    x = 5,712.99

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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.