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Finding the Fourth Proportional to 5,462.26, 8,191.64 and 1,763.70

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Solution

The fourth proportional to 5,462.26, 8,191.64 and 1,763.70 is: 2,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.26 : 8,191.64 = 1,763.70 : x
  2. Step 2: Convert to fraction form
    5,462.26/8,191.64 = 1,763.70/x
  3. Step 3: Cross multiply
    5,462.26x = 8,191.64 × 1,763.70
  4. Step 4: Simplify right side
    5,462.26x = 14,447,595.47
  5. Step 5: Solve for x
    x = 14,447,595.47/5,462.26
  6. Step 6: Final answer
    x = 2,644.98

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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.