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Finding the Fourth Proportional to 3,862.99, 5,795.94 and 1,783.99

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Solution

The fourth proportional to 3,862.99, 5,795.94 and 1,783.99 is: 2,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.99 : 5,795.94 = 1,783.99 : x
  2. Step 2: Convert to fraction form
    3,862.99/5,795.94 = 1,783.99/x
  3. Step 3: Cross multiply
    3,862.99x = 5,795.94 × 1,783.99
  4. Step 4: Simplify right side
    3,862.99x = 10,339,899.00
  5. Step 5: Solve for x
    x = 10,339,899.00/3,862.99
  6. Step 6: Final answer
    x = 2,676.66

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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.