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Finding the Fourth Proportional to 4,941.71, 7,412.68 and 2,167.83

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Solution

The fourth proportional to 4,941.71, 7,412.68 and 2,167.83 is: 3,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.71 : 7,412.68 = 2,167.83 : x
  2. Step 2: Convert to fraction form
    4,941.71/7,412.68 = 2,167.83/x
  3. Step 3: Cross multiply
    4,941.71x = 7,412.68 × 2,167.83
  4. Step 4: Simplify right side
    4,941.71x = 16,069,432.79
  5. Step 5: Solve for x
    x = 16,069,432.79/4,941.71
  6. Step 6: Final answer
    x = 3,251.80

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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.