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Finding the Fourth Proportional to 3,271.80, 4,926.12 and 2,884.29

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Solution

The fourth proportional to 3,271.80, 4,926.12 and 2,884.29 is: 4,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.80 : 4,926.12 = 2,884.29 : x
  2. Step 2: Convert to fraction form
    3,271.80/4,926.12 = 2,884.29/x
  3. Step 3: Cross multiply
    3,271.80x = 4,926.12 × 2,884.29
  4. Step 4: Simplify right side
    3,271.80x = 14,208,365.87
  5. Step 5: Solve for x
    x = 14,208,365.87/3,271.80
  6. Step 6: Final answer
    x = 4,342.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.