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Finding the Fourth Proportional to 3,813.71, 5,263.04 and 2,135.18

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Solution

The fourth proportional to 3,813.71, 5,263.04 and 2,135.18 is: 2,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.71 : 5,263.04 = 2,135.18 : x
  2. Step 2: Convert to fraction form
    3,813.71/5,263.04 = 2,135.18/x
  3. Step 3: Cross multiply
    3,813.71x = 5,263.04 × 2,135.18
  4. Step 4: Simplify right side
    3,813.71x = 11,237,556.24
  5. Step 5: Solve for x
    x = 11,237,556.24/3,813.71
  6. Step 6: Final answer
    x = 2,946.62

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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.