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Finding the Fourth Proportional to 3,406.82, 4,700.84 and 2,009.84

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Solution

The fourth proportional to 3,406.82, 4,700.84 and 2,009.84 is: 2,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.82 : 4,700.84 = 2,009.84 : x
  2. Step 2: Convert to fraction form
    3,406.82/4,700.84 = 2,009.84/x
  3. Step 3: Cross multiply
    3,406.82x = 4,700.84 × 2,009.84
  4. Step 4: Simplify right side
    3,406.82x = 9,447,936.27
  5. Step 5: Solve for x
    x = 9,447,936.27/3,406.82
  6. Step 6: Final answer
    x = 2,773.24

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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.