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Finding the Fourth Proportional to 3,813.99, 5,263.43 and 2,135.46

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Solution

The fourth proportional to 3,813.99, 5,263.43 and 2,135.46 is: 2,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.99 : 5,263.43 = 2,135.46 : x
  2. Step 2: Convert to fraction form
    3,813.99/5,263.43 = 2,135.46/x
  3. Step 3: Cross multiply
    3,813.99x = 5,263.43 × 2,135.46
  4. Step 4: Simplify right side
    3,813.99x = 11,239,865.30
  5. Step 5: Solve for x
    x = 11,239,865.30/3,813.99
  6. Step 6: Final answer
    x = 2,947.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.