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Finding the Fourth Proportional to 5,463.72, 8,192.52 and 1,765.08

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Solution

The fourth proportional to 5,463.72, 8,192.52 and 1,765.08 is: 2,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.72 : 8,192.52 = 1,765.08 : x
  2. Step 2: Convert to fraction form
    5,463.72/8,192.52 = 1,765.08/x
  3. Step 3: Cross multiply
    5,463.72x = 8,192.52 × 1,765.08
  4. Step 4: Simplify right side
    5,463.72x = 14,460,453.20
  5. Step 5: Solve for x
    x = 14,460,453.20/5,463.72
  6. Step 6: Final answer
    x = 2,646.63

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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.