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Finding the Fourth Proportional to 3,402.81, 5,106.24 and 3,186.84

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Solution

The fourth proportional to 3,402.81, 5,106.24 and 3,186.84 is: 4,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.81 : 5,106.24 = 3,186.84 : x
  2. Step 2: Convert to fraction form
    3,402.81/5,106.24 = 3,186.84/x
  3. Step 3: Cross multiply
    3,402.81x = 5,106.24 × 3,186.84
  4. Step 4: Simplify right side
    3,402.81x = 16,272,789.03
  5. Step 5: Solve for x
    x = 16,272,789.03/3,402.81
  6. Step 6: Final answer
    x = 4,782.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.