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Finding the Fourth Proportional to 3,271.96, 4,926.36 and 2,884.45

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Solution

The fourth proportional to 3,271.96, 4,926.36 and 2,884.45 is: 4,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.96 : 4,926.36 = 2,884.45 : x
  2. Step 2: Convert to fraction form
    3,271.96/4,926.36 = 2,884.45/x
  3. Step 3: Cross multiply
    3,271.96x = 4,926.36 × 2,884.45
  4. Step 4: Simplify right side
    3,271.96x = 14,209,800.05
  5. Step 5: Solve for x
    x = 14,209,800.05/3,271.96
  6. Step 6: Final answer
    x = 4,342.91

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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.