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Finding the Fourth Proportional to 5,463.18, 8,193.05 and 1,764.52

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Solution

The fourth proportional to 5,463.18, 8,193.05 and 1,764.52 is: 2,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.18 : 8,193.05 = 1,764.52 : x
  2. Step 2: Convert to fraction form
    5,463.18/8,193.05 = 1,764.52/x
  3. Step 3: Cross multiply
    5,463.18x = 8,193.05 × 1,764.52
  4. Step 4: Simplify right side
    5,463.18x = 14,456,777.90
  5. Step 5: Solve for x
    x = 14,456,777.90/5,463.18
  6. Step 6: Final answer
    x = 2,646.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.