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Finding the Fourth Proportional to 5,462.15, 8,193.31 and 1,713.80

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Solution

The fourth proportional to 5,462.15, 8,193.31 and 1,713.80 is: 2,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.15 : 8,193.31 = 1,713.80 : x
  2. Step 2: Convert to fraction form
    5,462.15/8,193.31 = 1,713.80/x
  3. Step 3: Cross multiply
    5,462.15x = 8,193.31 × 1,713.80
  4. Step 4: Simplify right side
    5,462.15x = 14,041,726.82
  5. Step 5: Solve for x
    x = 14,041,726.82/5,462.15
  6. Step 6: Final answer
    x = 2,570.73

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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.