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Finding the Fourth Proportional to 3,166.44, 4,722.68 and 2,967.98

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Solution

The fourth proportional to 3,166.44, 4,722.68 and 2,967.98 is: 4,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.44 : 4,722.68 = 2,967.98 : x
  2. Step 2: Convert to fraction form
    3,166.44/4,722.68 = 2,967.98/x
  3. Step 3: Cross multiply
    3,166.44x = 4,722.68 × 2,967.98
  4. Step 4: Simplify right side
    3,166.44x = 14,016,819.79
  5. Step 5: Solve for x
    x = 14,016,819.79/3,166.44
  6. Step 6: Final answer
    x = 4,426.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.