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Finding the Fourth Proportional to 5,191.71, 7,783.65 and 2,690.21

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Solution

The fourth proportional to 5,191.71, 7,783.65 and 2,690.21 is: 4,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.71 : 7,783.65 = 2,690.21 : x
  2. Step 2: Convert to fraction form
    5,191.71/7,783.65 = 2,690.21/x
  3. Step 3: Cross multiply
    5,191.71x = 7,783.65 × 2,690.21
  4. Step 4: Simplify right side
    5,191.71x = 20,939,614.15
  5. Step 5: Solve for x
    x = 20,939,614.15/5,191.71
  6. Step 6: Final answer
    x = 4,033.28

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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.