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Finding the Fourth Proportional to 3,390.84, 5,086.71 and 3,185.80

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Solution

The fourth proportional to 3,390.84, 5,086.71 and 3,185.80 is: 4,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.84 : 5,086.71 = 3,185.80 : x
  2. Step 2: Convert to fraction form
    3,390.84/5,086.71 = 3,185.80/x
  3. Step 3: Cross multiply
    3,390.84x = 5,086.71 × 3,185.80
  4. Step 4: Simplify right side
    3,390.84x = 16,205,245.47
  5. Step 5: Solve for x
    x = 16,205,245.47/3,390.84
  6. Step 6: Final answer
    x = 4,779.13

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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.