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Finding the Fourth Proportional to 3,813.99, 5,263.20 and 2,135.55

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Solution

The fourth proportional to 3,813.99, 5,263.20 and 2,135.55 is: 2,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.99 : 5,263.20 = 2,135.55 : x
  2. Step 2: Convert to fraction form
    3,813.99/5,263.20 = 2,135.55/x
  3. Step 3: Cross multiply
    3,813.99x = 5,263.20 × 2,135.55
  4. Step 4: Simplify right side
    3,813.99x = 11,239,826.76
  5. Step 5: Solve for x
    x = 11,239,826.76/3,813.99
  6. Step 6: Final answer
    x = 2,947.00

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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.