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Finding the Fourth Proportional to 5,682.61, 7,841.77 and 3,164.59

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Solution

The fourth proportional to 5,682.61, 7,841.77 and 3,164.59 is: 4,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.61 : 7,841.77 = 3,164.59 : x
  2. Step 2: Convert to fraction form
    5,682.61/7,841.77 = 3,164.59/x
  3. Step 3: Cross multiply
    5,682.61x = 7,841.77 × 3,164.59
  4. Step 4: Simplify right side
    5,682.61x = 24,815,986.92
  5. Step 5: Solve for x
    x = 24,815,986.92/5,682.61
  6. Step 6: Final answer
    x = 4,367.01

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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.