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Finding the Fourth Proportional to 5,460.75, 8,192.49 and 1,762.90

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Solution

The fourth proportional to 5,460.75, 8,192.49 and 1,762.90 is: 2,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 8,192.49 = 1,762.90 : x
  2. Step 2: Convert to fraction form
    5,460.75/8,192.49 = 1,762.90/x
  3. Step 3: Cross multiply
    5,460.75x = 8,192.49 × 1,762.90
  4. Step 4: Simplify right side
    5,460.75x = 14,442,499.66
  5. Step 5: Solve for x
    x = 14,442,499.66/5,460.75
  6. Step 6: Final answer
    x = 2,644.78

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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.