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Finding the Fourth Proportional to 5,220.67, 7,832.10 and 1,711.21

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Solution

The fourth proportional to 5,220.67, 7,832.10 and 1,711.21 is: 2,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.67 : 7,832.10 = 1,711.21 : x
  2. Step 2: Convert to fraction form
    5,220.67/7,832.10 = 1,711.21/x
  3. Step 3: Cross multiply
    5,220.67x = 7,832.10 × 1,711.21
  4. Step 4: Simplify right side
    5,220.67x = 13,402,367.84
  5. Step 5: Solve for x
    x = 13,402,367.84/5,220.67
  6. Step 6: Final answer
    x = 2,567.17

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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.