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Finding the Fourth Proportional to 5,461.68, 8,192.34 and 1,763.88

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Solution

The fourth proportional to 5,461.68, 8,192.34 and 1,763.88 is: 2,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.68 : 8,192.34 = 1,763.88 : x
  2. Step 2: Convert to fraction form
    5,461.68/8,192.34 = 1,763.88/x
  3. Step 3: Cross multiply
    5,461.68x = 8,192.34 × 1,763.88
  4. Step 4: Simplify right side
    5,461.68x = 14,450,304.68
  5. Step 5: Solve for x
    x = 14,450,304.68/5,461.68
  6. Step 6: Final answer
    x = 2,645.76

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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.