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Finding the Fourth Proportional to 3,813.68, 5,262.84 and 2,135.08

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Solution

The fourth proportional to 3,813.68, 5,262.84 and 2,135.08 is: 2,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.68 : 5,262.84 = 2,135.08 : x
  2. Step 2: Convert to fraction form
    3,813.68/5,262.84 = 2,135.08/x
  3. Step 3: Cross multiply
    3,813.68x = 5,262.84 × 2,135.08
  4. Step 4: Simplify right side
    3,813.68x = 11,236,558.11
  5. Step 5: Solve for x
    x = 11,236,558.11/3,813.68
  6. Step 6: Final answer
    x = 2,946.39

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Why These Related Problems?

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