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Finding the Fourth Proportional to 5,461.76, 8,192.64 and 1,764.54

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Solution

The fourth proportional to 5,461.76, 8,192.64 and 1,764.54 is: 2,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.76 : 8,192.64 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    5,461.76/8,192.64 = 1,764.54/x
  3. Step 3: Cross multiply
    5,461.76x = 8,192.64 × 1,764.54
  4. Step 4: Simplify right side
    5,461.76x = 14,456,240.99
  5. Step 5: Solve for x
    x = 14,456,240.99/5,461.76
  6. Step 6: Final answer
    x = 2,646.81

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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.